Stochastic Integration with Jumps
Series: Encyclopedia of Mathematics and its Applications; 89;
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78 951 Ft
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Product details:
- Publisher Cambridge University Press
- Date of Publication 13 May 2002
- ISBN 9780521811293
- Binding Hardback
- No. of pages516 pages
- Size 242x164x34 mm
- Weight 897 g
- Language English 0
Categories
Short description:
The complete theory of stochastic differential equations driven by jumps, their stability, and numerical approximation theories.
MoreLong description:
Stochastic processes with jumps and random measures are importance as drivers in applications like financial mathematics and signal processing. This 2002 text develops stochastic integration theory for both integrators (semimartingales) and random measures from a common point of view. Using some novel predictable controlling devices, the author furnishes the theory of stochastic differential equations driven by them, as well as their stability and numerical approximation theories. Highlights feature DCT and Egoroff's Theorem, as well as comprehensive analogs results from ordinary integration theory, for instance previsible envelopes and an algorithm computing stochastic integrals of c...gl...d integrands pathwise. Full proofs are given for all results, and motivation is stressed throughout. A large appendix contains most of the analysis that readers will need as a prerequisite. This will be an invaluable reference for graduate students and researchers in mathematics, physics, electrical engineering and finance who need to use stochastic differential equations.
Review of the hardback: 'The material in the book is presented well: it is detailed, motivation is stressed throughout and the text is written with an enjoyable pinch of dry humour.' Evelyn Buckwar, Zentralblatt MATH
Table of Contents:
Preface; 1. Introduction; 2. Integrators and martingales; 3. Extension of the integral; 4. Control of integral and integrator; 5. Stochastic differential equations; Appendix A. Complements to topology and measure theory; Appendix B. Answers to selected problems; References; Index.
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