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Discrete-time semi-Markov random evo...
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Limnios, N.
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Discrete-time semi-Markov random evolutions and their applications
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Discrete-time semi-Markov random evolutions and their applications/ by Nikolaos Limnios, Anatoliy Swishchuk.
作者:
Limnios, N.
其他作者:
Swishchuk, Anatoliy.
出版者:
Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:
xvi, 198 p. :ill., digital ;24 cm.
Contained By:
Springer Nature eBook
標題:
Markov random fields. -
電子資源:
https://doi.org/10.1007/978-3-031-33429-0
ISBN:
9783031334290
Discrete-time semi-Markov random evolutions and their applications
Limnios, N.
Discrete-time semi-Markov random evolutions and their applications
[electronic resource] /by Nikolaos Limnios, Anatoliy Swishchuk. - Cham :Springer Nature Switzerland :2023. - xvi, 198 p. :ill., digital ;24 cm. - Probability and its applications,2297-0398. - Probability and its applications..
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.
ISBN: 9783031334290
Standard No.: 10.1007/978-3-031-33429-0doiSubjects--Topical Terms:
728525
Markov random fields.
LC Class. No.: QA274.45
Dewey Class. No.: 519.233
Discrete-time semi-Markov random evolutions and their applications
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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.
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