Książka Markov Processes for Stochastic Modeling Masaaki Kijima

Markov Processes for Stochastic Modeling

Język: Angielski
Oprawa: Miękka
Wydawca: Chapman and Hall
Dostępność: Dostępna u dostawcy w małych ilościach
Wysyłamy za 13-18 dni
240.43
This book presents an algebraic development of the theory of countable state space Markov chains wit...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
1997
strony
341
EAN
9780412606601
ISBN
0412606607
Enbook ID
02721969
Waga
539
Wymiary
163 x 243 x 18

Pełny opis

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.

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