General Irreducible Markov Chains and Non-Negative Operators
Esa Nummelin
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.
Kategorije:
Godina:
2004
Izdavač:
Cambridge University Press
Jezik:
english
Strane:
168
ISBN 10:
052160494X
ISBN 13:
9780521604949
Serije:
Cambridge Tracts in Mathematics
Fajl:
DJVU, 832 KB
IPFS:
,
english, 2004
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