Masaaki KIJIMA. London: Chapman and Hall, 1997. ISBN 0-41260660-7. ...

Masaaki KIJIMA. London: Chapman and Hall, 1997. ISBN 0-41260660-7. vii + 341 pp. $64.95.

Markov Processes for Stochastic Modeling overviews modern analysis of countable state-space Markov chains in discrete and continuous time. The book differs from classical Markov chain texts (e.g., Chung 1967, Iosifescu 1980, Orey 1971, and Revuz 1984) in that it concentrates on transient rather than on limiting behavior of the chain. The text pursues the subject matter from a modern perspective, with time reversibility and monotonicity playing key roles in the development of the material. Topics such as convergence rates, unimodality of transition probabilities, and quasi-stationarity are ...

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