Литература

-.[2] Adaptive Computational Methods in Finance and Trading. Report of the In- tertek Group.

Admati A. R., Pfleiderer P. A theory of intraday trading patterns // Review of Financial Studies. 1988. V. 1. P. 3-40.

Akgiray V., Booth G.G. The stable-law model of stock returns //Journal of Business and Economic Statistics. 1988. V. 6. P. 51-57.

Александров П. С., Хетгчин А. Я. Андрей Николаевич Колмогоров (к пятидесятилетию со дня рождения) // Успехи математических наук. 1953. Т. 8. №3. С. 178-200.

Andersen L., Andreasen J., Brotherton-Ratcliffe R. The Passport Option. Preprint. Aarhus: Aarhus University, February, 1997.

Andersen Т., Bollerslev T. Intraday Seasonality and Volatility Persis-tence in Foreign Exchange and Equity Markets. Working paper № 193. Evans- ton, IL: Kellogg Graduate School of Management, Northwestern University, 1994.

Anis A. A., LloydE.H. The expected value of the adjusted rescaled Hurst range of independent normal summands // Biometrika. 1976. V. 63. №1. P. 111-116.

Ansel J.-P., Strieker C. Couverture des actifs contingents et prix maximum // Annales de l\'lnstitut Henri Poincare. 1994. V. 30. №2. P. 303-315.

Ansel J.-P., Strieker C- Quelques remarques sur un theoremede Yan // Lecture Notes in Mathematics. 1990. V. 1426. P. 226-274.

Аркин В. И., Евстигнеев И. В. Вероятностные модели управления и экономической динамики. М.: Наука, 1979.

Bachelier L. Theorie de la speculation // Annales de l\'Ecole Normale Su- perieure. 1900. V. 17. P. 21-86. (Англ. перев.: [77].)

Baillie R., Bollerslev T. Intra-day and inter market volatility in foreign exchange rates // Review of Economic Studies.

Baillie R., Bollerslev Т. The daily message in exchange rates: a conditional variance tale // Journal of Business and Economic Statistics. 1989. V. 7. P. 297-305.

Baillie R.T., Bollerslev Т., Mikkelsen H.-O. Fractionally Integrated Generalized Autoregressive Conditional Heteroskedasticity. Working paper № 168. Evanston, IL: Kellogg Graduate School of Management, Northwestern University, 1993 // Journal of Econometrics. 1996. V. 74. № 1.

Baker G.L., Golub J. P. Chaotic Dynamics. Cambridge: Cambridge Univ. Press, 1996.

Balakrishnan V., Nicolis C., Nicolis G. Extreme Value Distributions in Chaotic Dynamics. Preprint ULB-Cenoli, № 95-1. Bruxelles: Centre for Nonlinear Phenomena and Complex Systems, Universite Libre de Bruxelles, January, 1995.

Ball С. A. A review of stochastic volatility models with application to option pricing // Financial Markets, Institutions and Instruments. 1993. V. 2. №5. P. 55-69.

Ball C. A., Torous W. N. Bond price dynamics and options // Journal of Financial and Quantitative Analysis. 1983. V. 18. P. 517-531.

Barlow M.T. One-dimensional stochastic differential equations with no strong solution // Journal of the London Mathematical Society. 1982. V. 26- P. 335-347.

Barndorff-Nielsen О. E. Exponentially decreasing distributions for the logarithm of particle size // Proceedings of the Royal Society. London. Ser. A. 1977. V. 353. P. 401-419.

BarndorfF-Nielsen O.E. Gaussian\\\\Inverse Gaussian Processes and the Modeling of Stock Returns. Preprint. Aarhus-. Aarhus University, October, 1994.

Barndorff-Nielsen O.E. Hyperbolic distributions and distributions on hyperbolae // Scandinavian Journal of Statistics. 1978. V. 5. P. 151-157.

Barndorff-Nielsen O.E. Inverse Gaussian Distributions and Stochastic Volatility Modelling. Preprint. Aarhus: Aarhus University, Dept. of Mathematical Sciences, March 5,1996.

Barndorff-Nielsen О. E., Blaesild P. Hyperbolic distributions and ramifications: contributions to theory and application // Statistical Distributions in Scientific Work / Ed.

Barndorff-Nielsen O.E., Jensen J.L., S0rensen M. Wind shear and hyperbolic distributions // Boundary-Layer Meteorology. 1989. V. 49. P. 417-431.

Barnea A., Downes D. A reexamination of the empirical distribution of stock price changes // Journal of American Statistical Association. 1973. V. 68. P. 348-350.

Barone-Adesi G., Elliott R. Approximations for the values of American options // Stochastic Analysis and Applications. 1991. V. 9. №2. P. 115-131.

Barone-Adesi G., Whaley R. E. Efficient analytic approximation of American option values // Journal of Finance. 1987. V. 42. №2. P. 301-320.

Basseville M., Nikiforov I. Detection of Abrupt Changes. Englewood Cliffs, NJ: Prentice Hall, 1993.

Baxter М., Rennie A. Financial Calculus. An Introduction to Derivative Pricing. Cambridge: Cambridge Univ. Press, 1996.

Beibel M., Lerche H. R. A New Look at Warrant Pricing and Related Optimal Stopping Problems. Preprint. Freiburg i. Br.: Universitat Freiburg, Institut fur Mathematische Stochastik, 1995.

BensoussanA. On the theory of option pricing // Acta Applicandae Math- ematicae. 1984. V. 2. P. 139-158.

Benveniste A., Metivier M., Priouret P. Adaptive Algorithms and Stochastic Approximations. Berlin: Springer-Verlag, 1987.

Bernstein P. L. Capital Ideas. New York: The Free Press, 1992.

BjorkT. Interest Rate Theory. Working paper № 72. Stockholm: School of Economics, 1996.

Bjork Т., Di Masi G., Kabanov Yu., Runggaldier W. Towards a general theory of bond markets // Finance and Stochastics. 1997. V. 2. №1. P. 141-174.

BjorkT., Kabanov Yu., Runggaldier W. Bond market structure in the presence of marked point processes // Mathematical Finance. 1997. V. 7. №2. P. 211-239.

Виллингсли П. Сходимость вероятностных мер. М.: Наука, 1977.

Bishop G.W., Jr. Charles Н. Dow and the Dow Theory. New York: Apple- ton-Century-Crofts, 1960.

Black F. The holes in Black-Scholes // RISK-magazin.

Black F.T., Derman E., Toy W. A one-factor model of interest rate and its application to Treasury bond options // Financial Analysts Journal. 1990. P. 33-39.

Black F., Karasinski P. Bond and option pricing when short rates axe lognormal // Financial Analysts Journal. 1991. P. 52-59.

Black F., Scholes M. The pricing of options and corporate liabilities // Journal of Political Economy. 1973. V. 81. №3. P. 637-659.

Благовещенский Ю. H., Легостаева И. JI. Параметрические Гранины для непараметрического тренда // Доклады Академии наук СССР. 1982. Т. 264. №4. С. 791-794.

В latt berg R. С., Gonedes N.J. A comparison of the stable and the Student distributions as statistical models for stock prices // Journal of Business. 1974. V. 47. P. 244-280.

Bochner S. Subordination of non-Gaussian processes //Proceedings of the National Academy of Sciences of the USA. 1962. V. 48. P. 19-22.

Bollerslev T. Generalized autoregressive conditional heteroskedasticity // Journal of Econometrics. 1986. V. 31. P. 307-327.

Boness A., Chen A., Jatusipitak S. Investigations of nonstationary prices // Journal of Business. 1974. V. 47. P. 518-537.

Вуренин A. H. Фьючерсные, форвардные и опционные рынки. М.: Триво- ла, 1995.

Воровков А. А. Теория вероятностей. М.: Наука, 1986.

Bowers N.L., Gerber H.U., Hickman D. A., Jones D.A., Nes- bitt C.J. Actuarial Mathematics. Itasca, IL: Society of Actuaries, 1986.

Box G. Е. P., Jenkins G. M. Time Series Analysis: Forecasting and Control. San Francisco: Holden Day, 1970.

Brace A., Musiela M. A multifactor Gauss-Markov implementation of Heath, J arrow and Morton // Mathematical Finance. 1994. V. 4. №3. P. 259-283.

Brealey R. A., MyersS.C. Principles of Corporate Finance. 3rd ed.New York: McGraw-Hill, 1988.

Brennan M., Schwartz E. S. A continuous time approach to the pricing of bonds // Journal of Banking and Finance. 1979. V. 3. P. 133-155.

Brennan M., Schwartz E.S. The valuation of American put options // Journal of Finance.

Brock W. A., Dechert W.D., Scheinkman J.-A. A Test for Inde-pendence Based on the Correlation Dimension. SSRI Working paper № 8702. University of Wisconsin-Madison, Dept. of Economics, 1987.

Brock W. A, Hsieh D. A., Le Baron B. Nonlinear- Dynamics, Chaos, and Instability: Statistical Theory and Economic Evidence. Cambridge, MA: MIT Press, 1991.

Brock W. A., Potter S. M. Diagnostic testing for nonlinearity, chaos, and general dependence in time-series data // Nonlinear Modeling and Forecasting (Proceedings of a Workshop on Nonlinear Modeling and Forecasting, September 1990, Santa Fe, New Mexico) / Ed. M. Casdagli and S. Enbank. Redwood City, CA: Addison-Wesley, 1990. P. 137-159.

Brock W. A., Sayers C. L. Is the business cycle characterized by deter-ministic chaos? // Journal of Monetary Economics. 1988. V. 22. P. 71-90.

Brockwell P. J., Davis R. A. Time Series: Theory and Methods. 2nd ed. New York: Springer-Verlag, 1991.

Brousseau V., Czarnecki M.O. Modelling Exchange Rates: the Stable Model. Preprint. Paris: Ecole Polytechnique, August 16,1994.

Burnham J.B. Current Structure and Recent Developments in Foreign Exchange Markets // Recent Developments in International Banking and Finance / Ed. S.J. Khonry. Amsterdam: Elsevier Sci. Pub]., North-Holland, 1991. P. 123-163.

Бизнес: Оксфордский толковый словарь. М.: Прогресс-Академия, 1995. (Перевод с англ.: A Concise Dictionary of Business. Market House Books, Ltd., 1991.)

Carr P., Jarrow R., Myneni R. Alternative characterizations of American put options // Mathematical Finance. 1992. V. 2. №2. P. 87-106.

Chernoff H. Sequential tests for the mean of a normal distribution // Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability. V. 1. Univ. of California Press, 1961. P. 79-92.

ЧетыркинЕ.М. Методы финансовых и коммерческих расчетов. М.: Business Речь Дело, 1992.

Chan К.С., Karolyi G. A., Longstaff F., Sanders А.

Chen L. A Three-Factor Model of the Term Structure of Interest Rates. Preprint. Washington, USA: Federal Reserve Board, July, 1995.

Chen P., DayR.H. (Eds). Nonlinear Dynamics and Evolutionary Economics. Cambridge, MA: MIT Press (to appear-).

Choi J. Y., Salandro D., Shastri K. On the estimation of bid-ask spreads: Theory and evidence // Journal of Financial and Quantitative Analysis. 1988. V. 23. P. 219-230.

ChouC.S. Caracterisationd\'uneclassedesemimaxtingales//LectureNotes in Mathematics. 1979. V. 721. P. 250-252.

Chou C. S., Meyer P.-A., Strieker C. Sur les integrates stochastiques de processus previsibles non bornes // Lecture Notes in Mathematics. 1980. V. 784. P. 128-139.

Chow Y. S., Robbins H., Siegmund D. Great Expectations: The Theory of Optimal Stopping. Boston: Houghton Mifflin Сотр., 1971.

Ciesielski Z. Holder conditions for realizations of Gaussian processes // Transactions of the American Mathematical Society. 1961. V. 99. P. 403-413.

Clark J. M. C. The representation of functionals of Brownian motion by stochastic integrals // Annals of Mathematical Statistics. 1970. V. 41. №4. P. 1282-1295. Correction ibid 1971. V. 42. P. 1778.

Cootner P. H. (Ed.). The Random Character of Stock Market Prices. Cambridge, MA: MIT Press, 1964.

Copeland Т., Weston J. Financial Theory and Corporate Policy. 3rd ed. Reading, MA: Addison-Wesley, 1988.

Cox J.C., Ingersoll J.E., Jr., Ross S.A. An analysis of variable rate loan contracts // Journal of Finance. 1980. V. 35. P. 389-403.

Cox J. C, Ingersoll J. E., Jr., Ross S.A. A theory of the term structure of interest rates // Econometrica. 1985. V. 53. №2. P. 385-407.

Cox J.C., Ross R. A., Rubinstein M. Option pricing: a simplified approach // Journal of Financial Economics. 1979. V. 7. №3. P. 229-263.

Cox J.C., Rubinstein M. Options Markets. Englewood Cliffs, NJ: Prentice Hall, 1985.

Cowles A. Can stock market forecasters forecast? // Econometrica. 1933. V. 1. P. 309-324.

Cowles A. Stock Market Forecasting // Econometrica. 1944. V. 12. №3/4. P. 206-214.

Cowles A., Jones H. E. Some a posteriori probabilities in stock market action // Econometrica. 1937. V. 5. P. 280-294.

Cummins S. D., Geman H. An Asian option approach to the valuation of insurance futures contracts // Review of Futures Markets. 1994. V. 13. P. 517-557.

Czarnecki M. O. Modelisation des cours boursiers: le modele stable (utilisation pratique et pricing d\'option). Preprint. Paris: Laboratoire d\'Econometrie de l\'Ecole Polytechnique, 24 juin 1994.

Dacorogna M.M., Miiller U.A., Embrechts P., Samorodnitsky G. Moment Condition for the HARCH(k) Models. Preprint. Ziirich: "Olsen & Associates", May 30,1995.

Dacorogna М.М., Miiller U.A., Nagler R. J., Olsen R.B., Pic- tet О. V. A geographical model for the daily and weekly seasonal volatility in the foreign exchange market // Journal of International Money and Finance. 1993. V. 12. №4. P. 413-438.

Dacorogna M.M., Miiller U. A., Pictet О. V., de VriesC.G. The Distribution of Extremal Foreign Exchange Rate Returns in Extremely Large Data Sets. Preprint UAM, 1992-10-22. Zurich: "Olsen & Associates\'; Research Institute for Applied Economics, March 17,1995.

Dalang R. C., Morton A., Willinger W. Equivalent martingale measures and no-arbitrage in stochastic securities market models // Stochastics and Stochastics Reports. 1990. V. 29. №2. P. 185-201.

Dana R.-A., Jeanblanc-Picque M. Marches financiers en temps con- tinu (Valorisation et equilibre). Paris: Economica, 1994.

David H., Hartley H., Pearson E. The distribution of the ratio, in a single normal sample, of range to standard deviation // Biometrika. 1954. V. 41. P. 482-493.

DayR.H. Complex economic dynamics: obvious in history, generic in theory, elusive in data // [383]. P. 1-15.

Deboeck G. J. (Ed.). Trading on the Edge: Neural, Genetic, and Fuzzy Systems for Chaotic Financial Markets. New York: Wiley, 1994.

Delbaen F. Representing martingale measures when asset prices are continuous and bounded // Mathematical Finance. 1992. V. 2. P. 107-130.

Delbaen F., Schachermayer W. Arbitrage and free lunch with bounded risk for unbounded continuous processes // Mathematical Finance. 1994. V. 4. №4. P. 343-348.

Delbaen F., Schachermayer W. A Compactness Principle for Bounded Sequences of Martingales with Applications. Preprint. Zurich: ETH, November, 1996.

Delbaen F., Schachermayer W. A general version of the fundamental theorem of asset pricing // Mathematische Annalen. 1994. V. 300. №3. P. 463-520.

Delbaen F., Schachermayer W. The Fundamental Theorem of Asset Pricing for Unbounded Stochastic Processes. Preprint. Ziirich: ETH-Zentrum, 1997.

Dellacherie C., Meyer P.-A. Probability et potentiel. Ch. I aIV. Paris: Hermann, 1975.

Dellacherie C., Meyer P.-A. Probabilites et potentiel. Ch. V a VIII. Paris: Hermann, 1980.

DevanyR. L. Introduction to Chaotic Dynamical Systems. Menlo Park, С A: The Benjamin/Cummings Publ. Co., 1986.

De Vries C. G. On the relation between GARCH and stable processes // Journal of Econometrics. 1991. V. 48. P. 313-324.

DingZ., Granger C.W.J., Engle R. F. A long memory property of stock market returns and a new model // Journal of Empirical Finance. 1993. V. 1. P. 83-106.

Dixit A.K., Pindyck R.S. Investment under Uncertainty. Princeton: Princeton Univ. Press, 1994.

Долан Э. Дж., Кэмпбелл К. Д., Кэмпбелл Р. Дж. Деньги, банковское дело и денежно-кредитная политика. СПб.: Санкт-Петербург Оркестр,

(Переводе англ.: Campbell С. D., Campbell R.G., DolanE.G. Money, Banking and Monetary Policy. London: The Dryden Press, 1988.)

Дуб Дж. JI. Вероятностные процессы. М.: ИЛ, 1956. (Перевод с англ.: Doob J. L. Stochastic Processes. New York: Wiley, 1953.)

Doob J.L. Classical Potential Theory and Its Probabilistic Counterpart. New York: Springer-Verlag, 1984.

Dothan L. On the term structure of interest rates // Journal of Financial Economics. 1978. V. 6. P. 59-69.

Dothan M. U. Prices in Financial Markets. Oxford: Oxford Univ. Press, 1990.

Douady R. Cylindrical Brownian Motions and Yield Curve Smoothing. Preprint. New York: New York University, Courant Institute of Mathematical Sciences, February, 1996.

Drost F. C., Nijman Т. E. Temporal aggregation of GARCH processes 11 Econometrica. 1993. V. 61. P. 909-927.

Drost F.C., Werker B. J.M. Closing the GARCH Gap: Continuous Time GARCH Modeling. Working paper JV* 9402. Tilburg, Netherlands: Tilburg University, Center for Economic Research, 1994.

Дубине Л.E., Шепп Л. А., Ширяев А. Н. Оптимальные правила остановки и максимальные неравенства для процессов Бесселя // Теория вероятностей и ее применения. 1993. Т. 38. №4. С. 288-330.

Duffie D. Dynamic Asset Pricing Theory. Princeton: Princeton Univ. Press, 1992.

Duffie J. D., Harrison J. M. Arbitrage pricing of aRussian option and perpetual lookback options // The Annals of Applied Probability. 1993. V. 3. №3. P. 641-651.

Duffie D., Kan R. A yield-factor model of interest rates // Mathematical Finance. 1996. V. 6. №4. P. 379-406.

Du Mouchel W. Stable distributions in statistical inference: I. Symmetric stable distribution compared to other symmetric long-tailed distributions // Journal of American Statistical Association. 1973. V. 68. P. 469-477.

Dupire B. Model Art // RISK-magazin. 1993. V. 6. P. 118-124.

Dupire B. Pricing with a smile // RISK-magazin. 1994. V. 7. №1. P. 18-20.

Durrett R. Brownian Motions and Martingales in Analysis. Belmont, CA: Wadsworth, 1984.

Durrett R. Probability: Theory and Examples. 2nd ed. Belmont, CA: Duxbury Press, 1995.

Dybvig P., Ross S. Arbitrage // The New Palgrave: A Dictionary of Economics / Ed. J. Eatwell, M. Milgate, P. Newman. V. 1. London: Macmillan. P. 100-106.

ЛынкинБ.Б. Марковские процессы. M.: Физматгиз, 1963.

Eberlein Е., Keller U. Hyperbolic Distributions in Finance // Bernoulli.

V. 1. №3. P. 281-299.

[129 [130 [131 [132

[133 [134 [135 [136

[137 [138 [139

[140

[141 [142

[143 [144 [145 [146

Eberlein Е., Raible S. Term Structure Models Driven by General L4vy Processes. Preprint JV« 33. Freiburg i. Br.: Universitat Freiburg, Institut fur Mathematische Stochastik, 1996.

Ederington L.H., Lee J.H. How markets process information: News releases and volatility // Journal of Finance. 1993. V. 48. P. 1161-1191. Edwards R. D., Magee J. Technical Analysis of Stock Trends. 4th ed. Springfield, MA, 1958.

Einstein A. Investigation on the Theory of the Brownian Movement. (Ed. R. Fiirth.) New York: Dover, 1956.

Einstein A. On the movement of small particles suspended in a stationary liquid demanded by the molecular-kinetic theory of heat // Annalen der Physik. 1905. V. 17. P. 549-560.

El Karoui N., Geman H. A stochastic approach to the pricing of FRN\'s // RISK-magazin. 1991. V. 4.

ElKarouiN., Karatzasl. A new approach to the Skorokhod problem and its applications // Stochastics and Stochastics Reports. 1991. V. 34. P. 57-82. El Karoui N., Myneni R., Viswanathan R. The Probabilistic Theory of the American Option. Preprint. Paris: Universite de Paris VI, 1991. El Karou і N., Quenez M. С. Dynamic programming and pricing of contingent claims in an incomplete market // SIAM Journal on Control and Optimization. 1995. V. 33. №1. P. 29-66.

Emery M. Compensation de processus V.F. non localement integrables // Lecture Notes in Mathematics. 1980. V. 784. P. 152-160. Emery M. Metrisabilite de quelques espaces de processus aleatoires // Lecture Notes in Mathematics. 1980. V. 784. P. 140-147.

Emery M. Stochastic Calculus in Manifolds (With an Appendix: A Short Presentation of Stochastic Calculus by P.-A. Meyer). Berlin: Springer-Verlag, 1989.

Engle R. F. Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation // Econometrica. 1982. V. 50. №4. P. 987-1008.

Engle R. F., Bollerslev T. Modelling the persistence of conditional variance // Econometrics Reviews. 1986. V. 5. P. 1-50.

Engle R. F., Ito Т., Lin Wen-Ling. Meteor showers or heat waves? Heteroskedastic intra-daily volatility in the foreign exchange market // Econometrica. 1990. V. 58. P. 525-542.

Engle R. F., Russell J. R. Forecasting transaction rates: The autoregressive conditional duration model // [393]. V. 4.

Esscher F. On the probability function in the collective theory of risk // Skandinavisk Aktuarietidskrift. 1932. V. 15. P. 175-195. Evertsz C.J.G. Self-similarity of high-frequency USD /DEM exchange rates // [393]. V. 3.

Evertsz С. J. G., Ber kner К. Large deviation and self-similarity analysis of curves: DAX stock prices // Chaos, Solutions and Fractals. 1995. V. 6. P. 121-130.

Fama E. F. Efficient capital markets: A review of theory and empirical work // Journal of Finance. 1970. V. 25. P. 383-417.

Fama Е. F. Portfolio analysis in a stable Paretian market // Management Science. 1965. V. 311. №2. P. 409-419.

Fama E. F. Risk, return and equilibrium // Journal of Political Economy. 1971. V. 79. P. 30-55.

Fama E. F. The behavior of stock market prices // Journal of Business. 1965. V. 34. P. 420-429.

Fama E. F., Miller M. H. The Theory of Finance. New York: Holt, Rine- hard and Winston, Inc., 1972.

Fama E. F., Roll R. Parameter estimates for symmetric stable distributions // Journal ofAmerican Statistical Association. 1971. V. 66. P. 331-338.

Fama E. F., Roll R. Some properties of symmetric stable distributions // Journal of American Statistical Association. 1968. V. 63. P. 817-836.

Family F., Vicsek T. (Eds). Dynamics of Fractal Surfaces. Singapore: World Scientific Publ., 1991.

Feder J. Fractals. New York: Plenum Press, 1988.

Феллер В. Введение в теорию вероятностей и ее приложения. Т. 2. М.: Мир, 1971.

Feller W. The asymptotic distribution of the range of sums of independent • random variables // Annals of Mathematical Statistics. 1951. V. 22. №3.

P. 427-432.

Fielitz B. D., Rozelle J. P. Stable distributions and the mixtures of distributions hypotheses for common stock returns / / Journal ofAmerican Statistical Association. 1983. V. 78. №381. P. 28-36.

Fisher I. The Theory of Interests. New York: Macmillan, 1930.

Flood M. D. Market structure and inefficiency in the foreign exchange market // Journal of International Money and Finance. 1994. V. 13. №2. P. 131-138.

Fokker A. D. Die mittlere Energie rotierender Dipole im Strahlungsfeld // Annalen der Physik. 1914. V. 43. P. 810-820.

Follmer H. Probabilistic Aspects of Options. Preprint. Helsinki: Helsinki University, January, 1990.

Follmer H., Kabanov Yu. M. On the Optional Decomposition Theorem and the Lagrange Multipliers. Preprint. Berlin: Humboldt University, 1996 (to appear in Finance and Stochastics).

Follmer H., Kabanov Yu. M. Optional Decomposition Theorems in Discrete Time. Preprint. Berlin: Humboldt University, 1996.

Follmer H., Kramkov D. Optional Decompositions under constraints // Probability Theory and Related Fields. 1997. V. 109. №1. P. 1-25.

Follmer H., Protter Ph., Shiryaev A. N. Quadratic covariation and an extention of Ito\'s formula // Bernoulli. 1995. V. 1. №1/2. P. 149-170.

Follmer H., Schweizer M. Hedging of contingent claims under incomplete information // Applied Stochastic Analysis (Stochastic Monographs. V. 5) / Ed. M.H.A. Davis and R.J. Elliott. London: Gordon and Breach, 1991. P. 389-414.

Follmer H., Sondermann D. Hedging of non-redundant contingent claims // Contributions to Mathematical Economics / Ed. A. Mas-Colell and W. Hildenbrand. Amsterdam: North-Holland, 1986. P. 205-223.

French К. R., Schwert G. W., Stambaugh R. Expectedstockreturns and volatility // Journal of Financial Economics. 1987. V. 19. P. 3-29.

Friedman A. Stochastic Differential Equations and Applications. V. 1,2. New York: Academic Press, 1975,1976.

Frittelli M., Lakner P. Arbitrage and free lunch in a general financial market model; the fundamental theorem of asset pricing // [336]. P. 89-92.

Галъчук Л. И. О структуре некоторых мартингалов // Труды школы-семинара по теории случайных процессов (Друскининкай, 1974). Ч. I. Вильнюс: Ин-т физики и математики АН ЛитССР. С. 7-32.

Гамровски В., Рачев С. Финансовые модели, использующие устойчивые законы // Обозрение прикладной и промышленной математики. Москва, ТВП. 1995. Т. 2. №4. С. 556-604. (Перевод с франц.: Gamrowski В., Rachev S.T. Modeles financiers utilisant les lois stables. Preprint.)

Гельфонд А. О. Исчисление конечных разностей. Изд. 3-е, доп. М.: Наука, 1967.

Geman Н., El Karoui N.,Rochet J. С. Changes of numeraire, changes of probability measure and option pricing // Journal of Applied Probability. 1995. V. 32. P. 443-458.

George T. J., Kaul G-, Nimalendran M. Estimation of the bid-ask spread and its components: a new approach // Review of Financial Studies. 1991. V. 4. P. 623-656.

Gerber H.U., Shiu E.S.W. Martingale approach to pricing American options // ASTIN Bulletin. 1994. V. 24. P. 195-200.

Gerber H.U., Shiu E.S.W. Option pricing by Esscher transforms // Transactions of the Society of Actuaries. 1994. V. 46. P. 99-191.

Geske R., Johnson H. E. The American put options valued analytically // Journal of Finance. 1984. V. 39. P. 1511-1524.

Ghashghaie S., Breymann W., Peinke J., Talkner P., Dodge Y. Turbulent cascades in foreign exchange markets // Nature. 1996. V. 381. 27 June. P. 767-770.

Ghysels E., Jasiak J. Trading patterns: Time deformation and stochastic volatility in foreign exchange markets // [393]. V. 1.

Гихман И. И., Скороход А. В. Стохастические дифференциальные уравнения. Киев: Наукова думка, 1968.

Гирсанов И. В. О преобразовании одного класса случайных процессов с помощью абсолютно непрерывной замены меры // Теория вероятностей и ее применения. 1960. Т. 5. №3. С. 314-330.

Glosten L., Harris L. Estimating the components ofthe bid-ask spread // Journal of Financial Economics. 1988. V. 21. P. 123-142.

Glosten L., Milgrom P. Bid, ask, and transaction prices in a special market with heterogeneously informed traders // Journal of Financial Economics. 1985. V. 14 (March). P. 21-42.

Гнеденко B.B. Курс теории вероятностей. Изд. 2. М.: ГИТТЛ, 1954; Изд. 6-е, перераб. и доп. М.: Наука, 1988.

Gnedenko В. V. Sur la distribution limite du terme maximum d\'une serie aleatoire // Annals of Mathematics. 1943. V. 44. P. 423-453.

Гнеденко В. В., Колмогоров А.Н. Предельные распределения для сумм независимых случайных величин. М.: ГИТТЛ, 1949.

Goodhart С. A. "News" and the foreign exchange market // Proc. Manchester Statist. Soc. 1989. P. 1-79.

Goodhart C. A., Demos A. Reuters screen images of the foreign exchange market: the deutschenmark/doller spot rate // Journal of International Securities Markets. 1990. V. 4. P. 333-348.

Goodhart C. A., Figliuoli L. Every minute counts in financial markets // Journal of International Money and Finance. 1991. V. 10. P. 23-52.

Goodhart С. A. E., O\'Hara M. High frequency data in financial markets: issues and applications // [393]. Introductory Lecture.

Gourieroux Ch. Modeles ARCH et applications financieres. Paris: Eco- nomica, 1992.

Gourieroux C., Laurent J.-P. Dynamic Hedging in Discrete Time. Preprint. Paris: CREST, 1995.

Gourieroux C., Laurent J.-P., Pham H. Quadratic Hedging and Numeraire. Preprint. Universite de Marne-La Vallee, Equipe d\'Analyse et de Matl^matiques Appliques, October, 1995.

Grangel C.W. J., Newbold P. Forecasting Economic Time Series. New York: Academic Press, 1977.

Granger C.W. J., Morgenstern O. Predictability of Stock Market Prices. Lexington, MA: D. C. Heath & Co., 1970.

Granger C.W. J., Terasvirta T. Modelling Nonlinear Economic Rela-tionships. Oxford: Oxford Univ. Press, 1993.

Grassberger P., Procaccia I. Measuring the strangeness of strange at- tractors // PhysicaD. 1983. V. 9. P. 189-208.

Григелионис В. И., Ширяев А.Н. О задаче Стефана и оптимальных правилах остановки марковских процессов // Теория вероятностей и ее применения. 1966. Т. 11. №4. С. 612-631.

Grimmet G.R., Stirzaker D.R. Probability and Random Processes. Oxford: Clarendon Press, 1982.

Guegan D. Series chronologiques non lineaires a temps discret. Paris: Eco- nomica, 1994.

Guillaume D.M., Dacorogna M.M., Dave R.R., Miiller U. A., Olsen R. В., Hamon О. V., Jacquillat B. Le marche frangais des actions. Paris: Presses Universitaires de France, 1992.

Guillaume D.M., Dacorogna M. M., Dave R. D., Miiller U. A., Olsen R. В., Pictet О. V. From the bird\'s eye to the microscope: A survey of new stylized facts of the intra^ daily foreign exchange markets // Finance and Stochastics. 1997. V. 1. №2. P. 95-129.

Guillaume D.M., Pictet О. V., DacorognaM. M. On the intra-day performance of GARCH processes // [393]. V. 3.

Gumbei E. J. Statistics of Extremes. New York: Columbia Univ. Press, 1960.

Hager man R. More evidence on the distribution of security returns / / Journal of Finance. 1978. V. 33. P. 1213-1221.

Hale J., Kogak H. Dynamics and Bifurcations. New York: Springer-Verlag,

Halgreen C. Self-decomposability of the generalized inverse Gaussian and hyperbolic distributions // Zeitschrift fur Wahrscheinlichkeitstheorie und Ver- wandte Gebiete. 1979. V. 47. P. 13-17.

Hall P. On some simple estimates of an exponent of regular variation // Journal of the Royal Statistical Society. Ser. B. 1982. V. 44. № 1. P. 37-42. Hamilton J. D. Time Series Analysis. Princeton, NJ: Princeton Univ. Press, 1994.

Hannan H. J. Multiple Time Series. New York: Wiley, 1970. Hansen A. T. Complete Market Pricing in the Wiener Filtration without Existence ofaMartingale Measure. Preprint. Aarhus: Aarhus University, Dept. of Operation Research, 1996.

Harrison J. M., Kreps D. M. Martingales and arbitrage in multiperiod securities markets // Journal of Economic Theory. 1979. V. 20. P. 381-408. Harrison J. M., Pliska S. R. Martingales and stochastic integrals in the theory of continuous trading // Stochastic Processes and their Applications. 1981. V. 11. №3. P. 215-260.

Harvey C. R., Huang R. D. Volatility in the foreign currency futures market // Review of Financial Studies. 1991. V. 4. P. 543-569. Hasbrouck J. Trades, Quotes, Inventories and Information // Journal of Financial Economics. 1988. V. 22. P. 229-252.

Hausman J. A., Lo A. W., McKinlay A. C. An Oderer Probit Analysis of Transaction Stock Prices. Working paper № 3888. National Bureau of Economic Research, 1991.

Heath D., Jarrow R., Morton A. Bond pricing and the term structure of interest rates // Econometrica. 1992. V. 60. №1. P. 77-106. Heston S.I. A closed forms solution for options with stochastic volatility with applications to bond and currency options // Review of Financial Studies.

V. 6. №2. P. 333-343.

High Frequency Data in Finance. Data set from "Olsen & Associates" E-mail: hfdf@olsen.ch, 1993.

Hilborn R. C. Chaos and Nonlinear Dynamics. Oxford: Oxford Univ. Press, 1994.

Hill B.M. A simple general approach to inference about the tail of a distribution // The Annals of Statistics. 1975. V. 5. №3. P. 1163-1173. Ho T., Lee S. Term structure movements and pricing interest rates contingent claims // Journal of Finance. 1986. V. 41. P. 1011-1029. Хоффман-Иёнсен И. (Hoffman-J0rgensen J.) Устойчивые плотности // Теория вероятностей и ее применения. 1993. Т. 38. №2. С. 470-476. Hofmann N., Platen Е., Schweizer М. Option pricing under incompleteness and stochastic volatility // Mathematical Finance. 1992. V. 2. P. 153-187.

Hogan K.C., Jr., Melvin M. Sources of meteor showers and heat waves in the foreign exchange market // Journal of International Economics. 1994. V. 37. P. 239-247.

Home J. С. van. Financial Market Rates and Flows. Englewood Cliffs, NJ: Prentice Hall, 1984.

Hsu Der-Ann, Miller R. В., Wichern D. W. On the stable Paretian behavior of stock-market prices // Journal of American Statistical Association. 1974. V. 69. №345. P. 108-113.

Huang R. D., Masulis R. W. Spreads, dealer competition, and market regimes: a market microstructure analysis or FX trading // [393]. V. 4.

Hub er man G. A simple approach to arbitrage pricing theory //Journal of Economic Theory. March, 1982. P. 183-191.

Hudson M. The value in going out // From Black-Scholes to black holes. London/New York: Risk/Finex, 1992. P. 183-186.

Hull J. C. Options, Futures, and Other Derivative Securities. 2nd ed. Englewood Cliffs, NJ: Prentice Hall, 1993.

Hull J., White A. Pricing interest rate derivative securities // Review of Financial Studies. 1990. V. 3. №5. P. 573-592.

Hu 11 J., White A. The pricing of options on assets with stochastic volatilities // Journal of Finance. 1987. V. 42. P. 281-308.

Hurst H. Long-term storage capacity of reservoirs // Transactions ofAmerican Society of Civil Engineers. 1951. V. 116. P. 770-808.

Ibbotson R. G., Sinquefield R. A. Stocks, Bonds, Bills and Inflation: 1986 Year Book. Chicago: Ibbotson & Associates, 1986.

И братимеш И. A., Чернин К. E. Об сщновершинности устойчивых за-конов // Теория вероятностей и ее применения. 1959. Т. 4. №4. С. 453-456.

Ikeda N., Watanabe S. Stochastic Differential Equations and Diffusion Processes. 2nd ed. Amsterdam: North-Holland, 1989.

Ingersoll J. E. Theory of Financial Decision Making. London-Lanham: Row- man and Littlefield, 1987.

Иоффе А. Д., Тихомиров В. M. Теория экстремальных задач. М.: Наука, 1974.

Ito К. On a stochastic integral equation // Japan Academy. Proceedings. 1946. V. 22. P. 32-35.

ItoK. On stochastic differential equations //Memoirs of the American Mathematical Society. 1951. V. 4. P. 1-89.

Ito K. Stochastic integral // Imperial Academy. Tokyo. Proceedings. 1944. V. 20. P. 519-524.

Ито К., Маккин Г. Диффузионные процессы и их траектории. М.: Мир, 1968. (Перевод с англ.: Ito К., McKean Н.Р. Diffusion Processes and Their Sample Paths. New York: Springer-Verlag, 1965.)

Ito T., Engle R. F., Lin Wen-Ling. Where does the meteor shower come from? The role of stochastic policy coordination // Journal of International Economics. 1992. V. 32. P. 221-240.

Jacka S. D. Optimal stopping and the American put // Mathematical Finance. 1991. V. 1. №2. P. 1-14.

Jacod J. Calcul stochastique et problemes de martingales // Lecture Notes in Mathematics. 1979. V. 714. P. 1-539.

Jacod J. Integrates stochastiques par rapport a une semimartingale vecto- rielle et changements de filtration // Lecture Notes in Mathematics. 1980. V. 784. P. 161-172.

Жакод Ж., Ширяев A. H. Предельные теоремы для случайных процессов. Т. 1, 2. М.: Физматлит, 1994. (Перевод с англ.: Jacod J., Shiryaev A.N. Limit Theorems for Stochastic Processes. Berlin: Springer-Verlag, 1987.)

Jacod J., Shiryaev A. N. Local martingales and the fundamental asset pricing theorems in the discrete-time case // Finance said Stochastics. 1998. V. 2.

Jacquier E., Poison N. G., Rossi P. E. Bayesian analysis of stochastic volatility models // Journal of Business and Economic Statistics. 1994. V. 12. №4. P. 371-417.

Janicki A., Weron A. Simulation and Chaotic Behavior of a-Stable Stochastic Processes. New York: M. Dekker, 1994.

Jakubowski A., Memin J., Pages G. Convergence en loi des suites d\'integrates stochastiques sur l\'espace B1 deSkorokhod // Probability Theory and Related Fields. 1989. V. 81. №1. P. 111-137.

Jensen B.A., Nielsen J. A. The Structure ofBinomial Lattice Models for Bonds. Working paper № 91.1. Copenhagen Business School, Aarhus University, 1991.

Jamshidian F. An exact bond option formula //Journal of Finance. 1989. V. 44. №1. P. 205-209.

J0rgensen P. L. American Option Pricing. Preprint. The Faculty of Business Administration, The Aarhus School of Business, 1994.

Kabaila P. On the asymptotic efficiency of estimators of the parameters of ARM A processes // Journal of Time Series Analysis. 1983. V. 4. P. 37-49.

Кабанов Ю. M., Крамков Д. О. Отсутствие арбитража и эквивалентные мартингальные меры: новое доказательство теоремы Харрисона-Плиски // Теория вероятностей и ее применения. 1994. Т. 39. №3. С. 635-640.

Kabanov Yu. М., Kramkov D. О. Asymptotic arbitrage in large financial markets // Finance and Stochastics 1998. V. 2.

Кабанов Ю. M., Крамков Д. О. Большие финансовые рынки: асимп-тотический арбитраж и контигуальность // Теория вероятностей и ее применения. 1994. Т. 39. № 1. С. 222-228.

Kallsen J., Taqqu М. S. Option Pricing in ARCH-type Models. Preprint, July, 1994.

Камке Э. Справочник по обыкновенным дифференциальным уравнениям. М.: ИЛ, 1950.

Kanter М. Stable densities under change of scale said total variation inequalities // The Annals of Probability. 1975. V. 3. №4. P. 697-707.

Karatzas I. On the pricing of American options // Applied Mathematics and Optimization. 1988. V. 17. P. 37-60.

Karatzas I., Shreve S.E. Brownian Motion and Stochastic Calculus. Berlin: Springer-Verlag, 1988.

Karatzas I., Shreve S. Methods of Mathematical Finance. New York: Columbia Univ. Press, 1995.

Кагіуа Т. Quantitative Methods for Portfolio Analysis. Dordrecht: Kluwer Acad. Publ., 1993.

Kendall M. G. The analysis of economic time-series. Part 1. Prices // Jour-nal of the Royal Statistical Society. 1953. V. 96. P. 11-25.

Kendall M. Time-Series. London: Charles Griffin, 1973.

Kendall M., Stuart A. The Advanced Theory of Statistics. V. 3. London: Charles Griffin, 1966.

Kirn I.J. The analytic valuation of American options // Review of Financial Studies. 1990. V. 3. P. 547-572.

Kleinl., Schachermayer W. Asymptotic arbitrage in non-complete large financial markets // Теория вероятностей и ее применения. 1996. Т. 41. №4. С. 927-934.

Klimasauskas С. С. Neural Network Techniques // [96].

Kloeden P. E., Platen E. Numerical Solution of Stochastic Differential Equations. Berlin: Springer-Verlag, 1992.

Колмогоров A. H. Локальная структура турбулентности в несжимаемой вязкой жидкости при очень больших числах Рейнольдса // Доклады Академии наук СССР. 1941. Т. 30. С. 299-303.

Колмогоров А. Н. Математика и механика. Избранные труды. Т. 1. М.: Наука, 1985.

Колмогоров А. Н. Теория вероятностей и математическая статистика. Избранные труды. Т. 2. М.: Наука, 1986.

Колмогоров А. Н. Спираль Винера и некоторые другие интересные кривые в гильбертовом пространстве (Wienersche Spiralen und einige andere in- teressante Kurven im Hilbertschen Raum) // Доклады Академии наук СССР. 1940. Т. 26. №2. С. 115-118.

Kolmogoroff А. N. TJber die analytischen Methoden in der Wahrschein- lichkeitsrechnung // Mathematische Annalen. 1931. V. 104. P. 415-458. (См. также [278].)

Kramkov D. О. Optional decomposition of supermartingales and hedging contingent claims in incomplete security markets // Probability Theory and Related Fields. 1996. V. 105. №4. P. 459-479.

Крамков Л. О., Ширяев А. Н. О достаточных условиях равномерной интегрируемости экспоненциальных мартингалов. Препринт. М.: МИР АН, 1996. (См. также: Труды Второго Европейского математического конгресса, Будапешт, 1996.)

Крамков Д. О., Ширяев А. Н. О расчетах рациональной стоимости "Русского опциона" в симметричной биномиальной модели (В, S)-рынка // Теория вероятностей и ее применения. 1994. Т. 39. №1. С. 191-200.

Krouse C.G. Capital Markets and Prices. Valuing Uncertain Income Streams. Amsterdam: North-Holland, 1986.

Kreps D. Arbitrage and equilibrium in economies with infinitely many commodities // Journal of Mathematical Economics. 1981. V. 8. P. 15-35.

KrugmanP. Target zones and exchange rate dynamics // Quarterly Journal ofEconomics. 1991. V. 106. №3. P. 669-682.

Крылов H. В. Управляемые процессы диффузионного типа. М.: Наука, 1977.

Krylov N. V. Introduction to the Theory of Diffusion Processes. Providence, RI: Amer. Math. Soc., 1995.

Kiichler U., Neumann K., S0rensen M., Streller A. Stock Returns and Hyperbolic Distributions. Discussion paper № 23. Berlin: Humboldt University, 1994.

Lai T. L. Sequential change-point detection in quality control and dynamic systems // Journal of the Royal Statistical Society. Ser. B. 1995. V. 57. №4. P. 613-658.

Lai T. L., Siegmund D. Fixed accuracy estimation of an autoregressive parameter // The Annals of Statistics. 1983. V. 11. №2. P. 478-485.

Lakner P. Martingale measure for a class of right-continuous processes // Mathematical Finance. 1993. V. 3. № 1. P. 43-53.

Lamberton D., Lapeyre B. Introduction to Stochastic Calculus Applied to Finance. London: Chapman & Hall, 1996.

Lanford O. A computer-assisted proof of the Feigenbaum conjectures // American Mathematical Society. Bulletin. 1982. V. 6.№3. P. 427-434.

Langevin P. Surlatheoriedumouvementbrownien // ComptesRendus de l\'Academie des Sciences. Paris. 1908. V. 146. P. 530-533.

Latin Dictionary (founded on Andrew\'s edition of Freund\'s latin dictionary revised, enlarged and in great part rewritten by Ch.T. Lewis, Ch. Short). Oxford: Oxford Univ. Press, 1966.

Легостаева И. Л., Ширяев А. Н. Минимаксные веса в задаче выделения тренда случайного процесса // Теория вероятностей и ее применения. 1971. Т. 16. №2. С. 339-345.

Levy P. Processus stochastiques et mouvement brownien. Paris: Gauthier- Villars, 1948.

Lin S.J. Stochastic analysis of fractional Brownian motion // Stochastics and Stochastics Reports. 1995. V. 55. P. 121-140.

Lindley D.V. Dynamic programming and decision theory //Appl. Statist. 1961. V. 10. №1. P. 39-51.

Lintner J. The valuation of risky assets and the selection of risky investments on stock portfolios and capital budgets // Review of Economics and Statistics. 1965. V. 47 (February). P. 13-34.

Linton О. Adaptive estimation in ARCH Models // Econometric Theory. 1993. V. 9. P. 539-569.

Липцер Р.Ш., Ширяев A. H. Статистика случайных процессов. M.: Наука, 1974.

Лищер P. III., Ширяев А. Н. Теория мартингалов. М.: Наука, 1986.

Liu Т., Granger С. W. J., Heller W. P. Using the correlation exponent to decide whether an economic series is chaotic // [383].

Lo A. Neural networks and other nonparametric techniques in economics and finance // Blending Quantitative and Traditional Equity Analysis. Association for Investment Management and Research, 1994. P. 25-36.

Locke P. R., Sayers C. L. Intra-day futures price volatility: information effects and variance persistence / / Journal of Applied Econometrics. 1993. V. 8. P. 15-30. (См. также: [383]. P. 213-228.)

Lockwood L. J., Linn S.C. An examination of stock market return volatility during overnight and intraday periods, 1964-1989 // Journal of Finance. 1990. V. 45. P. 591-601.

Loosignian A.M. Foreign Exchange Futures. Homewood, IL: Dow Jones- Irwin, 1981.

Loosignian A. M. Stock Index Futures (Buying and Selling the Market Averages). Reading, MA: Addison-Wesley, 1985.

Lorenz H.-W. Nonlinear Dynamic Economics and Chaotic Motion. (Lecture Notes in Economics and Mathematical Systems. V. 334.) New York: Springer-Verlag, 1989.

Malkiel B. A Random Walk down Wall Street. London: W.W. Norton & Co., 1991.

Malliaris A. G., Brock W. A. Stochastic Methods in Economics and Finance. Amsterdam: North-Holland, 1982.

Mandelbrot В. B. Fractals: Form, Chance, and Dimension. San Francisco: Freeman, 1977.

Mandelbrot B.B. Lesobjetsfractals. Paris: Flammarion, 1975.

Mandelbrot B.B. Limit theorems on the self-normalized range for weakly and strongly dependent process // Zeitschrift Wahrscheinlichkeitstheorie und Verwandte Gebiete. 1975. V. 31. P. 271-285.

Mandelbrot В. B. Robustness of the rescaled range R/S in the measurement of noncyclic long-run statistical dependence // Water Resources .Research. 1969. V. 5. №5. P. 967-988.

Mandelbrot В. B. Some noises with 1//spectrum: a bridge between direct current and white noise // IEEE Transactions on Information Theory. April, 1967.

Mandelbrot В. B. Statistical methodology for non-periodic cycles: from the covariance to R/S analysis // Annals ofEconomic and Social Measurement. 1972. V. 1. №3. P. 259-290.

Mandelbrot B.B. The Fractal Geometry of Nature. San Francisco: W.H. Freeman, 1982.

Mandelbrot B.B. The Pareto-L6vy law and the distribution of income // International Economic Review. 1960. № 1.

Mandelbrot B.B. The stable Paretian income distribution when the apparent exponent is near two // International Economic Review. 1963. № 4.

Mandelbrot B.B. The variation of certain speculative prices //Journal of Business. 1963. V. 36. P. 394-419.

Mandelbrot В. B. The variation ofsome other speculative prices //Journal of Business. 1967. V. 40. P. 393-413.

Mandelbrot B.B. Une classe de processus stochastiques homothetiques a soi: application a la loi climatologique de H.E. Hurst // Comptes Rendus de l\'Academie des Sciences. Paris. 1965. V. 240. P. 3274-3277.

Mandelbrot B.B. When can price be arbitrated efficiently? A limit of the validity of the random walk and martingale models // Review of Economics and Statistics. 1971. V. 53. P. 225-236.

Mandelbrot В. B., Taylor H. M. On the distribution of stock price difference // Operations Research. 1967. V. 15. №6. P. 1057-1062.

Mandelbrot В. В., van Ness J. W. Fractional Brownian motions, fractional noises and applications // SIAM Review. 1968. V. 10. JV«4. P. 422-437.

Mandelbrot B.B., Wallis J.R. Computer experiments with fractional Gaussian noises. І, П, III // Water Resources Research. 1969. V. 5. P. 228-267.

Mantegna R. N., Stanley H. E. Scaling behaviour in the dynamics of an economic index // Nature. 1995. V. 376. P. 46-49.

MarkowitzH. Mean-Variance Analysis in Portfolio Choice and Capital Markets. Cambridge, MA: Blackwell, 1990.

MarkowitzH. Portfolio selection//Journal of Finance. 1952. V. 7 (March). P. 77-91.

Markowitz H. Portfolio selection. Efficient Diversification of Investments. New York: Wiley, 1959.

Martin J.D., CoxS.H.,Jr., McMinn R.D. The Theory of Finance. Evidence and Applications. London: The Dryden Press, 1988.

Математическая эшшклопедия. В 5-ти томах. М.: Советская энциклопедия, 1977-1985.

Mathematical Finance. Based on the proceedings of a workshop, held at IMA, University of Minnesota, Minneapolis, MN, USA 1992/93. Ed. M.H.A. Davis, D. Duffie, W.H. Fleming, S.E. Shreve. New York: Springer-Verlag, 1995.

Mathematical Models in Finance. Ed. S.D. Howison, F.P. Kelly, P. Wilmott. London: Chapman & Hall, 1995.

Маймин 3. Г. К вопросу о выделении детерминированной составляющей случайного поля // Теория вероятностей и ее применения. 1974. Т. 19. №3. С. 533-546.

McCuloch J.H. Simple consistent estimators of stable distribution parameters // Communications in Statistics - Simulation and Computation. 1986. V. 15 (4). P. 1109-1136.

McKean H.-P. A free boundary problem for the heat equation arising from a problem of mathematical economics //Industrial Management Review. 1965. V. 6. P. 32-39.

Мельников А. В. Финансовые рынки: стохастический анализ и расчет производных ценных бумаг. М.: ТВП, 1997.

Melnikov А. V,, Shiryaev А. N. Criteria for the absence of arbitrage in the financial market // Frontiers in Pure and Applied Probability. II (Proceedings of the Fourth Russian-Finish Symposium on Probability Theory and Mathematical Statistics, Moscow, October 3-8, 1993). Moscow: TVP, 1996. P. 121-134.

Memin J. Espaces de semi martingales et changements de probability // Zeitschrift Wahrscheinlichkeitstheorie und Verwandte Gebiete. 1980. V. 52. №1. P. 9-39.

Merrill Lynch, Pierce, Fenner, Smith, Inc. Security Risk Evaluation, October, 1986.

Merton R. Continuous-Time Finance. Cambridge, MA/Oxford, UK: Black- well, 1990.

Merton R. C. Theory of rational option pricing // Bell Journal of Economics and Management Science. 1973. №4 (Spring). P. 141-183.

Meyer P.-A. Notes sur les integrates stochastiques. I. Integrales hilberti- ennes // Lecture Notes in Mathematics. 1977. V. 581. P. 446-461.

Meyers M. G. A Financial History ofthe United States. New York: Columbia Univ. Press, 1970.

Мих алевич B.C. Байесовский вибір між двома гіпотезами про середве значення нормального пропессу // Віснік Київського університету. 1958. Т. І. №1. С. 101-104.

Miller М., Modigliani F. Dividend policy, growth, and the valuation of shares // Journal of Business. 1961. V. 34 (October). P. 411-433.

Mills Т. C. The Econometric Modelling ofFinancial Time Series. Cambridge: Cambridge Univ. Press, 1995.

Mittnik S., Rachev S.T. Financial Modeling and Option Pricing with Alternative Stable Models. New York: Wiley.

Mittnik S., Rachev S.T. Modeling asset returns with alternative stable distributions // Econometric Reviews. 1993. V. 12. №3. P. 261-330.

Mittnik S., Rachev S. Stable distributions for asset returns // Applied Mathematics Letters. 1989. V. 2. JV*3. P. 301-304.

Modigliani F., Miller M. Corporation income taxes and the cost capital: a correction // American Economic Review. 1963. V. 53 (June). P. 433-443.

Modigliani F., Miller M. The cost of capital, corporation finance, and the theory of investment // American Economic Review. 1958. V. 48 (June). P. 261-297.

Morris К. M., Siegel A. M. Guide to Understanding Money and Investing. Lightbulb Press, 1993.

Mullin T. (Ed.) The Nature of Chaos. Oxford: Clarendon Press, 1994.

Musiela M., Sondermann D. Different Dynamical Specifications of the Term Structure of Interest Rates and their Implications. Preprint. Bonn: Bonn University, Dept. of Statistics, 1993.

Miiller U.A., Dacorogna M.M., Davё R.D., Olsen R.B., Pictet O.V., von Weizsacker J.E. Volatilities of Different Time Resolutions - Analyzing the Dynamics of Market Components. Preprint UAM. 1995-01-12. Zurich: "Olsen & Associates" Research Institute for Applied Economics, March 20,1995. (См. также [393]. V. 1.)

Miiller U. A., Dacorogna M.M., Dave R. D., Pictet O.V., Ol- \' sen R.B., Ward J.R. Fractals and Intrinsic Time - A Challenge to Econometricians. Working paper. Zurich: "Olsen k. Associates" Research Institute for Applied Economics, 1993; Technical Report UAM 1993-08-16, "Olsen & Associates", Research Institute for Applied Economics.

Miiller U.A., Dacorogna M.M., Olsen R.B., Pictet O.V., Schwarz M., Morgenegg C. Statistical study of foreign exchange rates, empirical evidence of a price change scaling law, said intra-day analysis // Journal of Banking and Finance. 1990. V. 14. P. 1189-1208.

Myneni R. The pricing of the American option // Annals of Applied Probability. 1992. V. 2. № 1. P. 1-23.

Nelson D. В. ARCH models as diffusion approximations // Journal of Econometrics. 1990. V. 45. P. 7-38.

Nelson D.B. Asymptotic filtering theory for multivariate A R CH models // Journal of Econometrics. 1996. V. 71. №1/2. P. 1-47.

Nelson D.B. Conditional heteroskedasticity in asset returns: a new approach // Econometrics. 1990. V. 59. P. 347-370.

Nelson D. B. Filtering and forecasting with misspecified ARCH model // Journal of Econometrics. 1992. V. 52. P. 61-90.

Новиков А. А. Об сишом тождестве для стохастических интегралов // Теория вероятностей и ее применения. 1972. Т. 17. №4. С. 761-765.

Настольная книга валютного дилера. СП "Crocus International". М.: Верба,

О\'Врайен Дж., Шривастава С. Финансовый анализ и торговля ценными бумагами. М.: ДелоЛтд, 1995. (Перевод с англ.: O\'Brein J.,ShrivastavaS. Financial Analysis and Security Trading. Pittsburg, PA: Carnegie Mellon Uni-versity.)

Osborne M. F. M. Brownian motion in the stock market // Operations Research. 1959. V. 7. 145-173. (См. также: [78]. P. 100-128.)

Pagan A.R. Econometric issues in the analysis of regressions with generated regressors // International Economic Review. 1984. V. 25. P. 221-247.

Pagan A. R., Schwert G. W. Alternative models for conditional stock volatility // Journal of Econometrics. 1990. V. 45. P. 267-290.

Paley R. Б. A. C., Wiener N. Fourier transforms in the complex domain // American Mathematical Society Colloquium Publications. 1934. V. 19.

Paley R. E. A. C., Wiener N., Zygmund A. Notes on random functions // MathematischeZeitschrift. 1933. №37. P. 647-668.

Parkinson M. Option pricing: The American put // Journal of Business. 1977. V. 50. P. 21-36.

Pareto V. Cours d\'Economie Politique. Lausanne, Switzerland, 1897.

Peitgen H.-O., Jiirgens H., Saupe D. Chaos and Fractals. New York: Springer-Verlag, 1992.

Пайтген X.-O., Рихтер П. X. Красота фракталов. Образы комплекс-ных динамических систем. М.: Мир, 1993. (Перевод с англ.: Peitgen Н.-0., Richter Р.Н. The Beauty of Fractals. Images of Complex Dynamical Systems. Berlin: Springer-Verlag, 1986.)

Peltier R.-F., Vehel J. L. A new method for estimating the parameter of fractional Brownian motion // Bernoulli.

Peltier R.-F., Vehel J.L. Multifractional Brownian Motion: Definition and Preliminary Results. Preprint № 2645. Rocquencourt: INRIA, August, 1995.

Percival D.B. Three curious properties of the sample variance and autoco- variance for stationary processes with unknown mean // American Statistician.

V. 47. P. 274-276.

Pesaran M.H., Potter S.M. (Eds). Nonlinear Dynamics, Chaos and Econometrics. New York: Wiley, 1993.

Pesaran M.H., Samiei H. Estimating limited-dependent rational expec- tions models with an application to exchange rate determination in a target zone // Journal of Econometrics. 1992. V. 53. P. 141-163.

Peters Е. Е. Chaos and Order in the Capital Markets: A New View of Cycles, Prices, and Market Volatility. New York: Wiley, 1991.

Peters E. E. Fractal Market Analysis: Applying Chaos Theory to Investment and Economics. New York: Wiley, 1994.

Петраков Н.Я., Ротарь В. И. Фактор неопределенности и управление экономическими системами. М.: Наука, 1985.

Петроченко П. Ф. (ред.). Англо-русский толковый словарь по бизнесу. М.: СП "Арт-Бизнес-Центр", 1992.

Planck М. Uber einen Satz der statistischen Dynamic und seine Erweiterung in der Quantentheorie // Sitzungsberichte der Preussischen Akademie der Wis- senschaften. 1917. P. 324-341.

Praetz P. The distribution of share price changes // Journal of Business. 1972. V. 45. P. 49-55.

Priestley M. Non-Linear and Nonstationary Time Series. New York: Academic Press, 1988.

Prigent J.-L. Incomplete markets: Convergence of options values under the minimal martingale measure. PreprintN* 9526. THEMA, University of Cer- gy-Pontoise / / Proceedings of the 13th International Conference AFFI (Geneva, 1996).

Proceedings of the First International Conference on High Frequency Data in Finance (HFDF-I, March 29-31, 1995): Introductory Lecture and 4 volumes. Zurich: "Olsen & Associates", Research Institute for Applied Economics. •

Прохоров Ю. В Сходимость случайных процессов и предельные теоремы теории вероятностей // Теория вероятностей и ее применения. 1956. Т. 1. №2. С. 177-238.

Protter Ph. Stochastic Integration and Differential Equations: A New Approach. Berlin: Springer-Verlag, 1990.

Protter Ph., Talay D. The Euler Scheme for Levy Driven Stochastic Dif-ferential Equations. Preprint № 2621. Rocquencourt: INRIA, July, 1995.

Puu T. Nonlinear Economic Dynamics. New York: Springer-Verlag, 1989. (Lecture Notes in Economics and Mathematical Systems, № 336.)

Qiggins J. B. Option values under stochastic volatility. Theory and empirical estimates // Journal of Financial Economics. 1987. V. 19. P. 351-372.

Rabemananjara R., Zakoian J.M. /./ [383].

Рачев С. Т., Рушендорф Л. Модели и расчеты контрактов с опционами // Теория вероятностей и ее применения. 1994. Т. 39. №1. С. 150-190.

РэдхадК., Хьюс С. Управление финансовыми рынками. М.: Инфра-М, 1996. (Перевод с англ.: Redhead К., Huhhes S. Financial Risk Management.)

Revuz D., Yor M. Continuous Martingales and Brownian Motion. Berlin: Springer-Verlag, 1991.

Ridley M. The mathematics of markets // The Economist. October, 1993.

Risk Metrics. New York: Morgan Guaranty Trust Company, November, 1994.

Roberts H. V. Stock-market "patterns" and financial analysis: Methodological suggestions // Journal of Finance. 1959. V. 14. P. 1-10.

Рокафеллар P. Т. Выпуклый анализ. M.: Мир, 1973.

Rogers L.C.G. Equivalent martingale measures and no-arbitrage // Stochastics and Stochastics Reports. 1995. V. 51. P. 41-50.

Rogers L. С. G., Talay D. (Eds). Numerical Methods in Finance. Cam-bridge: Cambridge Univ. Press, 1997.

Рогозин Б. А. О некоторых классах процессов с независимыми прираще-ниями // Теория вероятностей и ее применения. 1965. Т. 10. С. 479-483.

Roll R., Ross S. A. An empirical investigation of the arbitrage pricing the-ory // Journal of Finance. 1980. V. 35. P. 1073-1103.

Ross S. A. Information and volatility: The no-arbitrage martingale approach to timing and resolution irrelevancy // Journal of Finance. 1989. V. 44. P. 1-18.

Ross S. A. The arbitrage theory of capital asset pricing // Journal of Economic Theory. 1976. V. 13. P. 341-360.

Рубинштейн Л. H. Проблема Стефана. Рига: Звайгзне, 1967.

Rubinstein М. Exotic Options. Working paper № 220. Berkeley: Institute of Business and Economic Research, University of California, December, 1991.

Rubinstein M. Guiding force // From Black-Scholes to black holes. Lon-don/New York: Risk/Finex, 1992. P. 39-48.

Sacks J., Ylvisaker D. Linear estimation for approximately linear models // Annals of Statistics. 1978. V. 6. №5. P. 1122-1137.

Samorodnitsky G. A class of shot noise models for financial applications // [393]. V. 3.

Samorodnitsky G., Taqqu M.S. Stable Non-Gaussian Random Processes. New York: Chapman & Hall, 1994.

Samuelson P. A. Proof that properly anticipated prices fluctuate randomly // Industrial Management Review. 1965. V. 6. P. 41-49.

Samuelson P. A. Rational theory of warrant pricing // Industrial Management Review. 1965. V. 6. P. 13-31.

Sandmann K., Sondermann D. A Note on the Stability of Log-Normal Interest Rate Models and the Pricing of Eurodollar Futures. Preprint. Bonn: Bonn University, Dept. of Statistics, 1996.

Sandmann K., Sondermann D. A term structure model and the pricing of interest rate derivatives // Review of Futures Markets. 1993. V. 12. № 2. P. 391-423.

Sato Ken-iti. Levy Processes on the Euclidean Spaces. Preprint. Zurich: Institute of Mathematics, University of Zurich, 1995.

Schachermayer W. A Hilbert space proof of the fundamental theorem of asset pricing in finite discrete time // Insurance: Mathematics & Economics. 1992. V. 11.

Schachermayer W. Martingale measure for discrete-time processes with infinite horizon // Mathematical Finance. 1994. V. 4. № 1. P. 25-55.

Schmidt W. M. On a general class of one-factor models for the term structure of interest rates // Finance and Stochastics. 1997. V. 1. №1. P. 3-24.

Schnidrig R., Wiirtz D. Investigation of the volatility and autocorrelation function of the USD/DEM exchange rate on operational time scales // [393]. V. 3.

Шустер F. Детерминированный хаос. Введение. M.: Мир, 1988. (Переводе англ.: Schuster Н. G. Deterministic Chaos. An Introduction. Weinheim: Physik Verlag, 1984.)

Schweizer М. On the minimal martingale measure and the Follmer-Schwei- zer decomposition // Stochastic Analysis and Applications. 1995. V. 13. JV5 5. P. 573-599.

Schweizer M. Variance-optimal hedging in discrete time // Mathematics of Operations Research. 1995. V. 20. №1. P. 1-32.

Schwert G. W., Segnin P. J. Heteroskedasticity in stock returns // Jour-nal of Finance. 1990: V. 45. P. 1129-1155.

Scott L. О. Option pricing when the variance changes randomly: Theory, estimation and an application // Journal of Financial and Quantitative Analysis. 1987. V. 22. P. 419-438.

Sharpe W. F. Capital asset prices: A theory of market equilibrium under conditions of risk // Journal of Finance. 1964. V. 19 (September). P. 425-442.

Шелл Л. А., Ширяев A. H. Новый взгляд на расчеты "Русского опциона" // Теория вероятностей и ее применения. 1994. Т. 39. №1. С. 130-149.

Shepp L.A., Shiryaev A.N. The Russian option: Reduced regret // Annals of Applied Probability. 1993. V. 3. №3. P. 631-640.

Shiller R.J. Stock Market Volatility. Cambridge, MA: MIT Press.

Shimko D. Finance in Continuous Time. A Primer. Miami: Kolb Publ. Co., 1992.

Ширяев A. H. Актуарное и финансовое дело: современное состояние и перспективы развития // Обозрение прикладной и промышленной математики. Москва, ТВП. 1994. Т. 1. № 5. С. 684-697.

Ширяев А. Н. Вероятность. Изд. 2-е, перераб. и доп. М.: Наука, 1989 (Англ. перев.: Shiryaev A.N. Probability. 2nd ed. New York: Springer-Verlag, 1995.)

Ширяев А.Н. Задача скорейшего обнаружения нарушения стационарного режима // Доклады Академии наук СССР. 1961. Т. 138. №5. С. 1039-1042.

Ширяев А. Н. Статистический последовательный анализ. Изд. 2. М.: Наука, 1976.

Ширяев А.Н. Стохастические проблемы финансовой математики//Обозрение прикладной и промышленной математики. Москва, ТВП. 1994. Т. 1. №5. С. 780-820.

Ширяев А.Н., Кабанов Ю.М., Крамков Д.О., Мельников А.В. К теории расчетов опционов Европейского и Американского типов. I. Дискретное время // Теория вероятностей и ее применения. 1994. Т. 39. №1. С. 21-79.

Ширяев А.Н., Кабанов Ю.М., Крамков Д.О., Мельников А.В. К теории расчетов опционов Европейского и Американского типов. II. Непрерывное время // Теория вероятностей и ее применения. 1994. Т. 39. №1. С. 80-129.

Shiryaev A. N., Spokoinyi V, G. Sequential Estimation for Autoregres- sive Systems. Preprint. Paris: Universite Paris-Sud, 1993.

СкороходА. В. Случайные процессы с независимыми приращениями. М.: Наука, 1967.

Sin С. A. Strictly Local Martingales and Hedge Ratios on Stochastic Volatility Models. Ithaka, NY: Cornell University, Graduate School, 1966.

Smith R. L. Estimating dimension in noisy chaotic time series // Journal of the Royal Statistical Society. Ser. B. 1992. V. 54. №2. P. 329-351.

Smith R.L. Optimal estimation of fractal dimension//Nonlinear Modeling and Forecasting (SFI Studies in the Science of Complexity. Proceedings. V 12) / Ed. M. Casdagli and S. Eubank. Reading, MA: Addison-Wesley, 1992.

Sobel R. Inside Wall Street: Continuity and Change in the Financial District. New York: W.W. Norton & Co., 1977.

Сорос Дж. Алхимия финансов. М.: Инфра-М, 1996. (Перевод с англ.: Soros G. The Alchemy of Finance. Reading the Mind of the Market. New York: Wiley, 1994.)

Спокойный В. Г., Ширяев А. Н. Статистические эксперименты и ста-тистические решения (рукопись монографии). М.:Матем. ин-тим.В. А. Стек- лова РАН, 1993.

Stein Е. М., Stein C.J. Stock prices distributions with stochastic volatility: sua analytic approach // Review of Financial Studies. 1991. V. 4. № 4. P. 727-752.

Стохастические аспекты финансовой математики. Тематический выпуск // Теория вероятностей и ее применения. 1994. Т. 39. № 1.

Strieker С. Arbitrage et lois de martingale // Annales de 1\'Institut Henri Poincare. 1990. V. 26. №2. P. 451-460.

Strogatz S.H. Nonlinear Dynamics and Chaos. Reading, MA: Addison- Wesley.

Stroock D. W., Varadhan S. R. S. Diffusion processes with continuous coefficients. І, П // Communications on Pure and Applied Mathematics. 1969. V. 22. №3. P. 345-400; №4. P. 479-530.

Svensson L. E. O. Target zones and interest rate variability // Journal of International Economics. 1991. V. 31. P. 27-54.

Taqqu M.S. Self-similar processes // Encyclopaedia of Statistical Sciences. V. 8 / Ed. S. Kotz and N. Johnson. New York: Wiley. P. 352-357.

Taylor S. Modeling Financial Time Series. New York: Wiley, 1986.

Tong H. Nonlinear Time Series. Oxford: Oxford Univ. Press, 1990.

Tong H. Nonlinear Time Series: A Dynamical System Approach. Oxford: Clarendon Press, 1990.

Тихонов A. H., Самарский А. А. Уравнения математической физики. Изд. 4. М.: Наука, 1972.

Timmermann A. Scales and stock markets // Nature. 1995. V. 376. P. 18-19.

Tversky A. The Psychology of Risk. Quantifying the Market Risk Premium Phenomene for Investment Decision Making. Charlottesville, VA: Institute of Chartered Financial Analysts, 1990.

Uhlenbeck G.E., Ornstein L.S. // Physical Review. 1930. V. 36. P. 823-841.

van Moerbeke P. L. J. On optimal stopping and free boundary problems // Archive for Rational Mechanics and Analysis. 1976. V. 60. №2. P. 101-148.

Varian H. R. (Ed.). Economic and Financial Modeling with Mathematica (TELOS-The Electronic Library of Science). Berlin: Springer-Verlag, 1993.

Vegle S. R. (Ed.). Stocks, Bonds, Options, Futures. New York: Institute of Finance, Prentice Hall, 1987.

ВентцельА.Д. Курс теории случайных процессов. М.: Наука, 1975.

Веретенников А. Ю. О сильных решениях стохастических дифференциальных уравнений // Теория вероятностей и ее применения. 1979. Т. 24. № 2. С. 348-360.

Vasicek О. An equilibrium characterization of the term structure // Journal of Financial Economics. 1977. V. 5. P. 177-188.

Voss R. F. l/f noise andfractalsineconomictimeseries // Fractal Geometry and Computer Graphics / Ed. J. L. Encarnagao, H.-O. Peitgen, and G. Englert. Berlin: Springer-Verlag, 1992. P. 45-52.

Walter C. Levy-stability under addition and fractal structure of markets // 5th AFIR International Colloquium (Bruxelles, September, 1995).

Weyl H. Bemerkungen zum Begriff der Differential-Quotenten gebrochener Ordnung // Viertelschr. Naturforsch. Ges. Ziirich. 1967. V. 62. P. 296-302.

Wiener N. Differential space // Journal of Mathematical Physics. Math. Inst. Tech. 1923. V. 2. P. 131-174.

Wiggins J. В. Option values under stochastic volatility. Theory and empirical evidence // Journal of Financial Economics. 1987. V. 19. P. 351-372.

Wilmott P., Dewynne J., Howison S. Option Pricing: Mathematical Models and Computation. Oxford: Oxford Financial Press, 1993.

Wilmott P., Howison S., Dewynne J. The Mathematics of Financial Derivatives. (A Student Introduction.) Cambridge: Cambridge Univ. Press, 1996.

Working H. A random-difference series for use in the analysis of time series // Journal of American Statistical Association. 1934. V. 29. P. 11-24.

Zhou B. Forecasting Foreign Exchange Rates Subject to De-Volatilization. Working paper № 3510. Cambridge, MA: Sloan School of Management, MIT, 1992. (См. также: [393]. V. 4.)

Зиновьев С.З. Инфраструктурный фактор рынка ценных бумаг // Деловой экспресс (газета). 25 июня 1996. № 23.

Золотарев В. М. Распределение суперпозиции безгранично делимых процессов // Теория вероятностей и ее применения. 1958. Т. 3. №2. С. 197-200.

Золотарев В. М. Одномерные устойчивые распределения. М.: Наука, 1983.

Звонкин А. К. Преобразование фазового пространства диффузионного процесса, "уничтожающее" снос // Математический сборник. 1974. Т. 93. №1. С. 129-149.