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2019 | OriginalPaper | Buchkapitel

4. Optimal Stopping Rules. General Theory for the Discrete-Time Case in the Markov Representation

verfasst von : Albert N. Shiryaev

Erschienen in: Stochastic Disorder Problems

Verlag: Springer International Publishing

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Abstract

1. Recall that the problems concerning optimal stopping and optimal stopping rules considered above were stated as follows.

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Literatur
17.
Zurück zum Zitat Chow, Y. S., Robbins, H., Siegmund, D. The Theory of Optimal Stopping. Corrected reprint of the 1971 original. Dover Publications, Inc., New York, 1991. Chow, Y. S., Robbins, H., Siegmund, D. The Theory of Optimal Stopping. Corrected reprint of the 1971 original. Dover Publications, Inc., New York, 1991.
24.
Zurück zum Zitat Dynkin, E. B. Markov Processes. Vols. I, II. Translated with the authorization and assistance of the author by J. Fabius, V. Greenberg, A. Maitra, G. Majone. Die Grundlehren der Mathematischen Wissenschaften, Bände 121, 122 Academic Press Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1965. Dynkin, E. B. Markov Processes. Vols. I, II. Translated with the authorization and assistance of the author by J. Fabius, V. Greenberg, A. Maitra, G. Majone. Die Grundlehren der Mathematischen Wissenschaften, Bände 121, 122 Academic Press Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1965.
25.
Zurück zum Zitat Dynkin, E. B., Yushkevich, A. A. Markov Processes: Theorems and Problems. Translated from the Russian by James S. Wood, Plenum Press, New York, 1969.CrossRef Dynkin, E. B., Yushkevich, A. A. Markov Processes: Theorems and Problems. Translated from the Russian by James S. Wood, Plenum Press, New York, 1969.CrossRef
64.
Zurück zum Zitat Novikov, A. A., Shiryaev, A. N. On an effective case of the solution of the optimal stopping problem for random walks. (Russian) Teor. Veroyatn. Primen. 49 (2004), no. 2, 373–382; translation in Theory Probab. Appl. 49 (2005), no. 2, 344–354. Novikov, A. A., Shiryaev, A. N. On an effective case of the solution of the optimal stopping problem for random walks. (Russian) Teor. Veroyatn. Primen. 49 (2004), no. 2, 373–382; translation in Theory Probab. Appl. 49 (2005), no. 2, 344–354.
87.
Zurück zum Zitat Shiryaev, A. N. Stochastic Processes. (Russian), Mosk. Gosud. Univ., Moscow, 1972. Shiryaev, A. N. Stochastic Processes. (Russian), Mosk. Gosud. Univ., Moscow, 1972.
88.
Zurück zum Zitat Shiryaev, A. N. Statistical Sequential Analysis. Optimal stopping rules. 2nd edition, revised. Izdat. Nauka, Moscow, 1976; 1st edition translated as Statistical Sequential Analysis. Optimal Stopping Rules. Translations of Mathematical Monographs, Vol. 38. American Mathematical Society, Providence, R.I., 1973. Shiryaev, A. N. Statistical Sequential Analysis. Optimal stopping rules. 2nd edition, revised. Izdat. Nauka, Moscow, 1976; 1st edition translated as Statistical Sequential Analysis. Optimal Stopping Rules. Translations of Mathematical Monographs, Vol. 38. American Mathematical Society, Providence, R.I., 1973.
93.
Zurück zum Zitat Shiryaev, A. N. Probability-2. (Russian), Moscow Center for Continuous Mathematical Education, Independent Univ. of Moscow, Moscow, 2011. Shiryaev, A. N. Probability-2. (Russian), Moscow Center for Continuous Mathematical Education, Independent Univ. of Moscow, Moscow, 2011.
95.
Zurück zum Zitat Shiryaev, A. N. Foundations of Stochastic Financial Mathematics, Vol.2 (Theory). Moscow Center for Continuous Mathematical Education, Independent Univ. of Moscow, Moscow, 2016. [See also the book Essentials of Stochastic Finance. Facts, Models, Theory. Translated from the Russian manuscript by N. Kruzhilin. Advanced Series on Statistical Science and Applied Probability, 3. World Scientific Publishing Co., Inc., River Edge, NJ, 1999.] Shiryaev, A. N. Foundations of Stochastic Financial Mathematics, Vol.2 (Theory). Moscow Center for Continuous Mathematical Education, Independent Univ. of Moscow, Moscow, 2016. [See also the book Essentials of Stochastic Finance. Facts, Models, Theory. Translated from the Russian manuscript by N. Kruzhilin. Advanced Series on Statistical Science and Applied Probability, 3. World Scientific Publishing Co., Inc., River Edge, NJ, 1999.]
Metadaten
Titel
Optimal Stopping Rules. General Theory for the Discrete-Time Case in the Markov Representation
verfasst von
Albert N. Shiryaev
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-030-01526-8_4

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