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Discrete-Time Semi-Markov Random Evolutions and Their Applications

Inbunden, Engelska, 2023

AvNikolaos Limnios,Anatoliy Swishchuk

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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.

Produktinformation

Utgivningsdatum2023-07-25
Mått155 x 235 x 18 mm
Vikt494 g
FormatInbunden
SpråkEngelska
SerieProbability and Its Applications
Antal sidor198
FörlagBirkhauser Verlag AG
ISBN9783031334283

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Nikolaos Limnios is a Professor at the Applied Mathematics Laboratory at the Université de Technologie de Compiègne, France. His research interests include stochastic processes, random evolutions, with a focus on semi-Markov processes, and statistics, and applications in reliability, biology, seismology, insurance, and finance. He has published more than 150 journal articles and 10 books on the theory and applications of stochastic processes and statistics. He serves on editorial boards for several research journals.Anatoliy Swishchuk is a Professor in Mathematical Finance at the Department of Mathematics and Statistics, University of Calgary, Canada. His research areas include financial mathematics, random evolutions and their applications, biomathematics, and stochastic calculus. He serves on editorial boards for several research journals and is the author of more than 180 publications, including 15 books and more than 120 articles in peer-reviewed journals. In 2018 he received a Peak Scholar award.

- 1. Discrete-Time Stochastic Calculus in Banach Space. - 2. Discrete-Time Semi-Markov Chains. - 3. Discrete-Time Semi-Markov Random Evolutions. - 4. Weak Convergence of DTSMRE in Series Scheme. - 5. DTSMRE in Reduced Random Media. - 6. Controlled Discrete-Time Semi-Markov Random Evolutions. - 7. Epidemic Models in Random Media. - 8. Optimal Stopping of Geometric Markov Renewal Chains and Pricing.

“The book presents a systematic exposition of the topic with the special stress on asymptotic results extended in various directions such as reduced random media, controlled processes and optimal stopping. … The book will be useful to readers interested in the theory of semi-Markov random evolutions and their numerous applications.” (Vassili N. Kolokoltsov, Mathematical Reviews, October, 2024)