Kniha Markov Processes for Stochastic Modeling Masaaki Kijima

Markov Processes for Stochastic Modeling

Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Chapman and Hall
Dostupnost: Skladem u dodavatele v malém množství
Odesíláme za 13-18 dnů
1 310
This book presents an algebraic development of the theory of countable state space Markov chains wit...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
1997
Stránek
341
EAN
9780412606601
ISBN
0412606607
Enbook ID
02721969
Vydavatel
Hmotnost
539
Rozměry
163 x 243 x 18

Kompletní popis

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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