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  • Engels
  • Hardcover
  • 9783030015251
  • 20 maart 2019
  • 397 pagina's
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Samenvatting

This monograph focuses on those stochastic quickest detection tasks in disorder problems that arise in the dynamical analysis of statistical data.



This monograph focuses on those stochastic quickest detection tasks in disorder problems that arise in the dynamical analysis of statistical data. These include quickest detection of randomly appearing targets, of spontaneously arising effects, and of arbitrage (in financial mathematics). There is also currently great interest in quickest detection methods for randomly occurring ‘intrusions’ in information systems and in the design of defense methods against cyber-attacks. The author shows that the majority of quickest detection problems can be reformulated as optimal stopping problems where the stopping time is the moment the occurrence of ‘disorder’ is signaled. Thus, considerable attention is devoted to the general theory of optimal stopping rules, and to its concrete problem-solving methods.

The exposition covers both the discrete time case, which is in principle relatively simple and allows step-by-step considerations, and the continuous-time case, which often requires more technical machinery such as martingales, supermartingales, and stochastic integrals. There is a focus on the well-developed apparatus of Brownian motion, which enables the exact solution of many problems. The last chapter presents applications to financial markets.

Researchers and graduate students interested in probability, decision theory and statistical sequential analysis will find this book useful.

Productspecificaties

Inhoud

Taal
en
Bindwijze
Hardcover
Oorspronkelijke releasedatum
20 maart 2019
Aantal pagina's
397
Illustraties
Nee

Betrokkenen

Hoofdauteur
Albert N. Shiryaev

Vertaling

Eerste Vertaler
Andrei Iacob
Co Vertaler(s)
Iacob, Andrei
Originele titel
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Editie
1
Extra groot lettertype
Nee
Product breedte
155 mm
Product lengte
235 mm
Studieboek
Ja
Verpakking breedte
155 mm
Verpakking hoogte
24 mm
Verpakking lengte
235 mm
Verpakkingsgewicht
793 g

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EAN
9783030015251
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