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Table of contents (8 chapters)
Keywords
About this book
This book presents an algebraic development of the theory of countable state space Markov chains with discrete- and continuous-time parameters. A Markov chain is a stochastic process characterized by the Markov prop erty that the distribution of future depends only on the current state, not on the whole history. Despite its simple form of dependency, the Markov property has enabled us to develop a rich system of concepts and theorems and to derive many results that are useful in applications. In fact, the areas that can be modeled, with varying degrees of success, by Markov chains are vast and are still expanding. The aim of this book is a discussion of the time-dependent behavior, called the transient behavior, of Markov chains. From the practical point of view, when modeling a stochastic system by a Markov chain, there are many instances in which time-limiting results such as stationary distributions have no meaning. Or, even when the stationary distribution is of some importance, it is often dangerous to use the stationary result alone without knowing the transient behavior of the Markov chain. Not many books have paid much attention to this topic, despite its obvious importance.
Authors and Affiliations
Bibliographic Information
Book Title: Markov Processes for Stochastic Modeling
Authors: Masaaki Kijima
DOI: https://doi.org/10.1007/978-1-4899-3132-0
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: M. Kijima 1997
Softcover ISBN: 978-0-412-60660-1Published: 01 January 1997
eBook ISBN: 978-1-4899-3132-0Published: 19 December 2013
Edition Number: 1
Number of Pages: X, 341