03695nam 2200661Ia 450 991045102440332120200520144314.01-281-11631-997866111163163-540-74011-210.1007/978-3-540-74011-7(CKB)1000000000410955(EBL)372430(OCoLC)300972636(SSID)ssj0000215749(PQKBManifestationID)11175809(PQKBTitleCode)TC0000215749(PQKBWorkID)10193973(PQKB)10591687(DE-He213)978-3-540-74011-7(MiAaPQ)EBC372430(PPN)12316852X(Au-PeEL)EBL372430(CaPaEBR)ebr10203905(CaONFJC)MIL111631(EXLCZ)99100000000041095520070801e20081978 uy 0engur|n|---|||||txtccrOptimal stopping rules[electronic resource] /A.N. Shiryaev ; translated by A.B. Aries1st ed. 2008.Berlin ;New York Springerc20081 online resource (227 p.)Applications of mathematics,0172-4568 ;8"Reprint of the 1978 edition with a new preface."3-540-74010-4 Includes bibliographical references (p. 208-213) and index.Random Processes: Markov Times -- Optimal Stopping of Markov Sequences -- Optimal Stopping of Markov Processes -- Some Applications to Problems of Mathematical Statistics.Although three decades have passed since first publication of this book reprinted now as a result of popular demand, the content remains up-to-date and interesting for many researchers as is shown by the many references to it in current publications. The "ground floor" of Optimal Stopping Theory was constructed by A.Wald in his sequential analysis in connection with the testing of statistical hypotheses by non-traditional (sequential) methods. It was later discovered that these methods have, in idea, a close connection to the general theory of stochastic optimization for random processes. The area of application of the Optimal Stopping Theory is very broad. It is sufficient at this point to emphasise that its methods are well tailored to the study of American (-type) options (in mathematics of finance and financial engineering), where a buyer has the freedom to exercise an option at any stopping time. In this book, the general theory of the construction of optimal stopping policies is developed for the case of Markov processes in discrete and continuous time. One chapter is devoted specially to the applications that address problems of the testing of statistical hypotheses, and quickest detection of the time of change of the probability characteristics of the observable processes. The author, A.N.Shiryaev, is one of the leading experts of the field and gives an authoritative treatment of a subject that, 30 years after original publication of this book, is proving increasingly important.Applications of mathematics ;8.Optimal stopping (Mathematical statistics)Sequential analysisElectronic books.Optimal stopping (Mathematical statistics)Sequential analysis.519.5/4Shiri͡aev Alʹbert Nikolaevich102058Aries A. B854488MiAaPQMiAaPQMiAaPQBOOK9910451024403321Optimal stopping rules1908209UNINA