Brownian Motion and Stochastic Calculus /
This book is designed for a graduate course in stochastic processes. It is written for the reader who is familiar with measure-theoretic probability and the theory of discrete-time processes who is now ready to explore continuous-time stochastic processes. The vehicle chosen for this exposition is B...
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer US,
1988.
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| Series: | Graduate texts in mathematics ;
113. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book is designed for a graduate course in stochastic processes. It is written for the reader who is familiar with measure-theoretic probability and the theory of discrete-time processes who is now ready to explore continuous-time stochastic processes. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a Markov process and a martingale in continuous time. The authors show how, by means of stochastic integration and random time change, all continuous martingales and many continuous Markov processes can be represented in terms of Brownian motion. The text is complemented by a large number of exercises. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xxiii, 470 pages 10 illustrations) |
| ISBN: | 9781468403022 (electronic bk.) 1468403028 (electronic bk.) |
| ISSN: | 0072-5285 ; |