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Book by Stroock Daniel W
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“The book under review ... provides an excellent introduction to the theory of Markov processes ... . An abstract mathematical setting is given in which Markov processes are then defined and thoroughly studied. Because of this the book will basically be of interest to mathematicians and those who have at least a good knowledge of undergraduate analysis and probability theory. ... The proofs are clearly written and explanations are not too concise which makes this book indeed very useful for a graduate course.” (Stefaan De Winter, Bulletin of the Belgian Mathematical Society, Vol. 15 (1), 2008)Reseña del editor
Provides a more accessible introduction than other books on Markov processes by emphasizing the structure of the subject and avoiding sophisticated measure theory
Leads the reader to a rigorous understanding of basic theory
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- VerlagSpringer Berlin Heidelberg
- Erscheinungsdatum2008
- ISBN 10 3540234519
- ISBN 13 9783540234517
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten196
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An Introduction to Markov Processes (Graduate Texts in Mathematics, 230)
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An Introduction to Markov Processes
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - To some extent, it would be accurate to summarize the contents of this book as an intolerably protracted description of what happens when either one raises a transition probability matrix P (i. e. , all entries (P)»j are n- negative and each row of P sums to 1) to higher and higher powers or one exponentiates R(P - I), where R is a diagonal matrix with non-negative entries. Indeed, when it comes right down to it, that is all that is done in this book. However, I, and others of my ilk, would take offense at such a dismissive characterization of the theory of Markov chains and processes with values in a countable state space, and a primary goal of mine in writing this book was to convince its readers that our offense would be warranted. The reason why I, and others of my persuasion, refuse to consider the theory here as no more than a subset of matrix theory is that to do so is to ignore the pervasive role that probability plays throughout. Namely, probability theory provides a model which both motivates and provides a context for what we are doing with these matrices. To wit, even the term 'transition probability matrix' lends meaning to an otherwise rather peculiar set of hypotheses to make about a matrix. Artikel-Nr. 9783540234517
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An Introduction To Markov Processes
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Paperback. Zustand: Brand New. 1st edition. 171 pages. German language. 9.00x6.00x0.30 inches. In Stock. Artikel-Nr. x-3540234519
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