Markov Processes for Stochastic Modeling

Masaaki Kijima

ISBN 10: 0412606607 / ISBN 13: 9780412606601

Verlag: Springer Us Jan 1997, 1997

Beschreibung

Neuware - 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.

Bestandsnummer des Verkäufers 9780412606601

Bibliografische Details

• Titel: Markov Processes for Stochastic Modeling
• Verlag: Springer Us Jan 1997
• Erscheinungsjahr: 1997
• Sprache: Englisch
• ISBN-10: 0412606607
• ISBN-13: 9780412606601
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 240B x 161 H x 21 T Millimeter Breite: 240 mm, Höhe: 161 mm, Tiefe: 21 mm
• Gewicht: 572 Gramm

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Kijima, Masaaki