Continuous-Time Markov Chains: An Applications-Oriented Approach (Springer Series in Statistics) - Hardcover

Anderson, William J.

Hardcover

ISBN 10: 0387973699 ISBN 13: 9780387973692

Publisher: Springer-Verlag New York Inc., 1991

Synopsis

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.

About this title

Synopsis

The point of view is of the applied probabilist and those mathematically literate practitioners in other fields who want to apply continuous-time Markov chains in their research. Markov chains are therefore studied through their transition functions, and not so much their simple paths, and this work serves as a complement to sample path oriented bo

Edition details

• Publisher: Springer-Verlag New York Inc.
• Publication date: 1991
• ISBN 10: 0387973699
• ISBN 13: 9780387973692
• Binding: Hardcover
• Language: English
• Number of pages: 367