Stochastic Processes
S. R. S. Varadhan
This is a brief introduction to stochastic processes studying certain elementary continuous-time processes. After a description of the Poisson process and related processes with independent increments as well as a brief look at Markov processes with a finite number of jumps, the author proceeds to introduce Brownian motion and to develop stochastic integrals and Itô's theory in the context of one-dimensional diffusion processes. The book ends with a brief survey of the general theory of Markov processes. The book is based on courses given by the author at the Courant Institute and can be used as a sequel to the author's successful book Probability Theory in this series. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.
類別:
年:
2007
出版商:
American Mathematical Society
語言:
english
頁數:
126
ISBN 10:
0821840851
ISBN 13:
9780821840856
系列:
Courant Lecture Notes
文件:
PDF, 24.86 MB
IPFS:
,
english, 2007