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Sinopsis
This book is about discrete-time, time-homogeneous, Markov chains (Mes) and their ergodic behavior. To this end, most of the material is in fact about stable Mes, by which we mean Mes that admit an invariant probability measure. To state this more precisely and give an overview of the questions we shall be dealing with, we will first introduce some notation and terminology. Let (X,B) be a measurable space, and consider a X-valued Markov chain ~. = {~k' k = 0, 1, ... } with transition probability function (t.pJ.) P(x, B), i.e., P(x, B) := Prob (~k+1 E B I ~k = x) for each x E X, B E B, and k = 0,1, .... The Me ~. is said to be stable if there exists a probability measure (p.m.) /.l on B such that (*) VB EB. /.l(B) = Ix /.l(dx) P(x, B) If (*) holds then /.l is called an invariant p.m. for the Me ~. (or the t.p.f. P).
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De la contraportada
This book concerns discrete-time homogeneous Markov chains that admit an invariant probability measure. The main objective is to give a systematic, self-contained presentation on some key issues about the ergodic behavior of that class of Markov chains. These issues include, in particular, the various types of convergence of expected and pathwise occupation measures, and ergodic decompositions of the state space. Some of the results presented appear for the first time in book form. A distinguishing feature of the book is the emphasis on the role of expected occupation measures to study the long-run behavior of Markov chains on uncountable spaces.
The intended audience are graduate students and researchers in theoretical and applied probability, operations research, engineering and economics.
"Sobre este título" puede pertenecer a otra edición de este libro.
- EditorialBirkhäuser
- Año de publicación2003
- ISBN 10 3764370009
- ISBN 13 9783764370008
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas228
- Contacto del fabricanteno disponible
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Markov Chains and Invariant Probabilities
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Birkhäuser Basel, 2003
ISBN 10: 3764370009
ISBN 13: 9783764370008
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Condición: Sehr gut. Zustand: Sehr gut | Seiten: 228 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 1100997/2
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Markov Chains and Invariant Probabilities
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Springer, Basel, Birkhäuser Basel, Birkhäuser Feb 2003, 2003
ISBN 10: 3764370009
ISBN 13: 9783764370008
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is about discrete-time, time-homogeneous, Markov chains (Mes) and their ergodic behavior. To this end, most of the material is in fact about stable Mes, by which we mean Mes that admit an invariant probability measure. To state this more precisely and give an overview of the questions we shall be dealing with, we will first introduce some notation and terminology. Let (X,B) be a measurable space, and consider a X-valued Markov chain ~. = {~k' k = 0, 1, . } with transition probability function (t.pJ.) P(x, B), i.e., P(x, B) := Prob (~k+1 E B I ~k = x) for each x E X, B E B, and k = 0,1, . The Me ~. is said to be stable if there exists a probability measure (p.m.) /.l on B such that (\*) VB EB. /.l(B) = Ix /.l(dx) P(x, B) If (\*) holds then /.l is called an invariant p.m. for the Me ~. (or the t.p.f. P). 208 pp. Englisch. Nº de ref. del artículo: 9783764370008
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Markov Chains and Invariant Probabilities
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is about discrete-time, time-homogeneous, Markov chains (Mes) and their ergodic behavior. To this end, most of the material is in fact about stable Mes, by which we mean Mes that admit an invariant probability measure. To state this more precisely and give an overview of the questions we shall be dealing with, we will first introduce some notation and terminology. Let (X,B) be a measurable space, and consider a X-valued Markov chain ~. = {~k' k = 0, 1, . } with transition probability function (t.pJ.) P(x, B), i.e., P(x, B) := Prob (~k+1 E B I ~k = x) for each x E X, B E B, and k = 0,1, . The Me ~. is said to be stable if there exists a probability measure (p.m.) /.l on B such that (\*) VB EB. /.l(B) = Ix /.l(dx) P(x, B) If (\*) holds then /.l is called an invariant p.m. for the Me ~. (or the t.p.f. P). Nº de ref. del artículo: 9783764370008
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Markov Chains and Invariant Probabilities (Progress in Mathematics, 211)
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Some of the results presented appear for the first time in book formEmphasis on the role of expected occupation measures to study the long-run behavior of Markov chains on uncountable spacesThis book is about discrete-time, time-homoge. Nº de ref. del artículo: 5279559
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Markov Chains and Invariant Probabilities
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Markov Chains and Invariant Probabilities
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Birkhäuser Basel, Birkhäuser Basel Feb 2003, 2003
ISBN 10: 3764370009
ISBN 13: 9783764370008
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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. Neuware -This book is about discrete-time, time-homogeneous, Markov chains (Mes) and their ergodic behavior. To this end, most of the material is in fact about stable Mes, by which we mean Mes that admit an invariant probability measure. To state this more precisely and give an overview of the questions we shall be dealing with, we will first introduce some notation and terminology. Let (X,B) be a measurable space, and consider a X-valued Markov chain ~. = {~k' k = 0, 1, . } with transition probability function (t.pJ.) P(x, B), i.e., P(x, B) := Prob (~k+1 E B I ~k = x) for each x E X, B E B, and k = 0,1, . The Me ~. is said to be stable if there exists a probability measure (p.m.) /.l on B such that (\*) VB EB. /.l(B) = Ix /.l(dx) P(x, B) If (\*) holds then /.l is called an invariant p.m. for the Me ~. (or the t.p.f. P).Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 228 pp. Englisch. Nº de ref. del artículo: 9783764370008
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