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Markov Processes for Stochastic Modeling
Af: Masaaki Kijima Engelsk Paperback
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kr 99
Markov Processes for Stochastic Modeling
Af: Masaaki Kijima Engelsk Paperback
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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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.
Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 341
ISBN-13: 9780412606601
Indbinding: Paperback
Udgave:
ISBN-10: 0412606607
Kategori: Stokastik
Udg. Dato: 1 jan 1997
Længde: 18mm
Bredde: 243mm
Højde: 163mm
Oplagsdato: 1 jan 1997
Forfatter(e): Masaaki Kijima
Forfatter(e) Masaaki Kijima


Kategori Stokastik


Sprog Engelsk


Indbinding Paperback


Sider 341


Udgave


Længde 18mm


Bredde 243mm


Højde 163mm


Udg. Dato 1 jan 1997


Oplagsdato 1 jan 1997

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