Stochastic calculus and financial applications /
"The course begins with simple random walk and the analysis of gambling games. This material is used to motivate the theory of martingales, and after reaching a decent level of confidence with discrete processes, the course takes up the more demanding development of continuous-time stochastic p...
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York :
Springer,
[2001]
|
| Series: | Applications of mathematics ;
45. |
| Subjects: | |
| Online Access: | Table of contents Table of contents Table of contents Table of contents Kostenfrei Full text available from Springer Nature Book Archives Millennium (2000-2004) Publisher description Cover Cover |
| Summary: | "The course begins with simple random walk and the analysis of gambling games. This material is used to motivate the theory of martingales, and after reaching a decent level of confidence with discrete processes, the course takes up the more demanding development of continuous-time stochastic process, especially Brownian motion. The construction of Brownian motion is given in detail, and enough material on the subtle properties of Brownian paths is developed so that the student should evolve a good sense of when intuition can be trusted and when it cannot. The course then takes up the Ito integral and aims to provide a development that is honest and complete without being pedantic."--Jacket. |
|---|---|
| Physical Description: | ix, 300 pages ; 25 cm. |
| Bibliography: | Includes bibliographical references (pages 294-295) and index. |
| ISBN: | 0387950168 9780387950167 1441928626 9781441928627 |