Continuous-time Markov chains

Description

Continuous time parameter Markov chains have been useful for modeling various random phenomena occurring in queueing theory, genetics, demography, epidemiology, and competing populations. This is the first book about those aspects of the theory of continuous time Markov chains which are useful in applications to such areas. It studies continuous time Markov chains through the transition function and corresponding q-matrix, rather than sample paths. An extensive discussion of birth and death processes, including the Stieltjes moment problem, and the Karlin-McGregor method of solution of the birth and death processes and multidimensional population processes is included, and there is an extensive bibliography. Virtually all of this material is appearing in book form for the first time.

Subjects

Series Statement

• Springer series in statistics. Probability and its applications / Applied Probability Trust
• Springer series in statistics

Other Editions

• Continuous-Time Markov Chains: An Applications-Oriented ApproachpaperbackSpringer2011-09-18
• Continuous-time Markov chainsSpringer-Verlag1991
• Continuous-Time Markov ChainsSpringer London, Limited2012-01-01
• Continuous-Time Markov ChainsPaperbackSpringer2014-02-06