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Discrete-Time Semi-Markov Random Evolutions and Their Applications
Nikolaos LimniosAnatoliy Swishchuk
出版Springer Nature, 2023-07-24
主題Mathematics / Probability & Statistics / Stochastic ProcessesMathematics / Probability & Statistics / GeneralMathematics / Mathematical AnalysisScience / System TheoryLanguage Arts & Disciplines / Library & Information Science / General
ISBN30313342999783031334290
URLhttp://books.google.com.hk/books?id=GxbNEAAAQBAJ&hl=&source=gbs_api
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註釋This book extends the theory and applications of random evolutions to semi-Markov random media in discrete time, essentially focusing on semi-Markov chains as switching or driving processes. After giving the definitions of discrete-time semi-Markov chains and random evolutions, it presents the asymptotic theory in a functional setting, including weak convergence results in the series scheme, and their extensions in some additional directions, including reduced random media, controlled processes, and optimal stopping. Finally, applications of discrete-time semi-Markov random evolutions in epidemiology and financial mathematics are discussed. This book will be of interest to researchers and graduate students in applied mathematics and statistics, and other disciplines, including engineering, epidemiology, finance and economics, who are concerned with stochastic models of systems.