000 03415nam a22005055i 4500
001 978-3-540-74011-7
003 DE-He213
005 20161121231214.0
007 cr nn 008mamaa
008 100301s2008 xxu| s |||| 0|eng d
020 _a9783540740117
_9978-3-540-74011-7
024 7 _a10.1007/978-3-540-74011-7
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aPBWL
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.2
_223
100 1 _aShiryaev, Albert N.
_eauthor.
245 1 0 _aOptimal Stopping Rules
_h[electronic resource] /
_cby Albert N. Shiryaev ; edited by B. Rozovskii, G. Grimmett.
264 1 _aNew York, NY :
_bSpringer New York,
_c2008.
300 _aXII, 220 p. 7 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aStochastic Modelling and Applied Probability,
_x0172-4568 ;
_v8
505 0 _aRandom Processes: Markov Times -- Optimal Stopping of Markov Sequences -- Optimal Stopping of Markov Processes -- Some Applications to Problems of Mathematical Statistics.
520 _aAlthough 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.
650 0 _aMathematics.
650 0 _aProbabilities.
650 0 _aStatistics.
650 1 4 _aMathematics.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aStatistics for Business/Economics/Mathematical Finance/Insurance.
700 1 _aRozovskii, B.
_eeditor.
700 1 _aGrimmett, G.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540740100
830 0 _aStochastic Modelling and Applied Probability,
_x0172-4568 ;
_v8
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-74011-7
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c510102
_d510102