Description
Book SynopsisThe Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists.
[A]nyone who works with Markov processes whose state space is uncountably infinite will need this most impressive book as a guide and reference.
-American Scientist
There is no question but that space should immediately be reserved for [this] book on the library shelf. Those who aspire to mastery of the contents should also reserve a large number of long winter evenings.
-Zentralblatt für Mathematik und ihre Grenzgebiete/Mathematics Abstracts
Ethier and Kurtz have produced an excellent treatment of the modern theory of Markov processes that [is] useful both as a reference w
Table of ContentsIntroduction.
1. Operator Semigroups.
2. Stochastic Processes and Martingales.
3. Convergence of Probability Measures.
4. Generators and Markov Processes.
5. Stochastic Integral Equations.
6. Random Time Changes.
7. Invariance Principles and Diffusion Approximations.
8. Examples of Generators.
9. Branching Processes.
10. Genetic Models.
11. Density Dependent Population Processes.
12. Random Evolutions.
Appendixes.
References.
Index.
Flowchart.