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General Irreducible Markov Chains and Non-Negative Operators
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The purpose of this book is to present the theory of general irreducible Markov chains and to point out the connection between this and the Perron-Frobenius theory of nonnegative operators. The author begins by providing some basic material designed to make the book self-contained, yet his principal aim throughout is to emphasize recent developments. The technique of embedded renewal processes, common in the study of discrete Markov chains, plays a particularly important role. The examples discussed indicate applications to such topics as queueing theory, storage theory, autoregressive processes and renewal theory. The book will therefore be useful to researchers in the theory and applications of Markov chains. It could also be used as a graduate-level textbook for courses on Markov chains or aspects of operator theory.
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Cambridge University Press; October 1984
170 pages; ISBN 9780511868245
Read online, or download in secure PDF format
170 pages; ISBN 9780511868245
Read online, or download in secure PDF format
