Highly recommend this book to everyone who started to study stochastic processes and SDE! This book gives better understanding and intuition of the subject than more advanced Karatzas & Shreve. I enjoyed to read this book very much also because the author always referees you to the necessary formula
Introduction to Stochastic Integration
β Scribed by K. L. Chung, R. J. Williams (auth.)
- Publisher
- BirkhΓ€user Boston
- Year
- 1983
- Tongue
- English
- Leaves
- 201
- Series
- Progress in Probability and Statistics 4
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front Matter....Pages i-xiii
Preliminaries....Pages 1-23
Definition of the Stochastic Integral....Pages 25-51
Extension of the Predictable Integrands....Pages 53-64
Quadratic Variation Process....Pages 65-84
The Ito Formula....Pages 85-103
Applications of the Ito Formula....Pages 105-126
Local Time and Tanakaβs Formula....Pages 127-142
Reflected Brownian Motions....Pages 143-171
Generalized Ito Formula and Change of Time....Pages 173-184
Back Matter....Pages 185-191
β¦ Subjects
Probability Theory and Stochastic Processes
π SIMILAR VOLUMES
Also called Ito calculus, the theory of stochastic integration has applications in virtually every scientific area involving random functions. This introductory textbook provides a concise introduction to the Ito calculus. From the reviews: "Introduction to Stochastic Integration is exactly what t
<p><P>The theory of stochastic integration, also called the Ito calculus, has a large spectrum of applications in virtually every scientific area involving random functions, but it can be a very difficult subject for people without much mathematical background. The Ito calculus was originally motiva
<p><p>A highly readable introduction to stochastic integration and stochastic differential equations, this book combines developments of the basic theory with applications. It is written in a style suitable for the text of a graduate course in stochastic calculus, following a course in probability.<