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.
General
Imprint: |
Birkhauser Verlag AG
|
Country of origin: |
Switzerland |
Series: |
Probability and Its Applications |
Release date: |
July 2023 |
Authors: |
Nikolaos Limnios
• Anatoliy Swishchuk
|
Dimensions: |
235 x 155mm (L x W) |
Pages: |
198 |
Edition: |
1st ed. 2023 |
ISBN-13: |
978-3-03-133428-3 |
Categories: |
Books
|
LSN: |
3-03-133428-0 |
Barcode: |
9783031334283 |
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