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Titlebook: Discrete-Time Semi-Markov Random Evolutions and Their Applications; Nikolaos Limnios,Anatoliy Swishchuk Book 2023 The Editor(s) (if applic

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書目名稱Discrete-Time Semi-Markov Random Evolutions and Their Applications
編輯Nikolaos Limnios,Anatoliy Swishchuk
視頻videohttp://file.papertrans.cn/282/281202/281202.mp4
概述Extends the theory of semi-Markov chains to random evolutions in discrete time.Presents limit theorems for random evolutions in different schemes.Shows applications in epidemiology and finance
叢書名稱Probability and Its Applications
圖書封面Titlebook: Discrete-Time Semi-Markov Random Evolutions and Their Applications;  Nikolaos Limnios,Anatoliy Swishchuk Book 2023 The Editor(s) (if applic
描述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.
出版日期Book 2023
關(guān)鍵詞Random Evolutions; Semi-Markov Chains; Discrete-Time Semi-Markov Chains; Discrete-Time Random Evolution
版次1
doihttps://doi.org/10.1007/978-3-031-33429-0
isbn_softcover978-3-031-33431-3
isbn_ebook978-3-031-33429-0Series ISSN 2297-0371 Series E-ISSN 2297-0398
issn_series 2297-0371
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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https://doi.org/10.1007/978-3-030-47066-1mes, and tightness of probability measures. The stochastic systems that are considered in the sequel are also presented and formulated in terms of random evolution as additive functionals, geometric Markov renewal chains, and dynamical systems. The general series scheme is presented.
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A Brief Survey of the Literature,s well as the detailed proofs of the theorems. Applications of these results, for additive functionals of SMC, geometric Markov renewal processes, dynamical systems, or difference equations, etc., are given.
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A Brief Survey of the Literature,lled geometric Markov renewal systems, and controlled dynamical systems, are studied. The dynamic programming equations for limiting models in the diffusion approximation scheme are also presented. The Merton problem and its solution are also given. Moreover, all detailed proofs of the above results
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Probability and Its Applicationshttp://image.papertrans.cn/e/image/281202.jpg
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