Markov Chains (Cambridge Series in Statistical and Probabilistic Mathematics)

Norris, J. R.

Cambridge University Press（1998/07発売）

Cambridge University Press（1998/07発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 254 p.
• 言語 ENG
• 商品コード 9780521633963
• DDC分類 519.233

基本説明

New in paperback. Hardcover was published in 1997.

Full Description

Markov chains are central to the understanding of random processes. This is not only because they pervade the applications of random processes, but also because one can calculate explicitly many quantities of interest. This textbook, aimed at advanced undergraduate or MSc students with some background in basic probability theory, focuses on Markov chains and quickly develops a coherent and rigorous theory whilst showing also how actually to apply it. Both discrete-time and continuous-time chains are studied. A distinguishing feature is an introduction to more advanced topics such as martingales and potentials in the established context of Markov chains. There are applications to simulation, economics, optimal control, genetics, queues and many other topics, and exercises and examples drawn both from theory and practice. It will therefore be an ideal text either for elementary courses on random processes or those that are more oriented towards applications.

Contents

Introduction; 1. Discrete-time Markov chains; 2. Continuous-time Markov chains I; 3. Continuous-time Markov chains II; 4. Further theory; 5. Applications; Appendix; Probability and measure; Index.