Martingales and Stochastic Integrals

Language: English

Published by Cambridge University Press, GB, 2008

0521090334 / 9780521090339

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This book provides an introduction to the rapidly expanding theory of stochastic integration and martingales. The treatment is close to that developed by the French school of probabilists, but is more elementary than other texts. The presentation is abstract, but largely self-contained and Dr Kopp makes fewer demands on the reader's background in probability theory than is usual. He gives a fairly full discussion of the measure theory and functional analysis needed for martingale theory, and describes the role of Brownian motion and the Poisson process as paradigm examples in the construction of abstract stochastic integrals. An appendix provides the reader with a glimpse of very recent developments in non-commutative integration theory which are of considerable importance in quantum mechanics. Thus equipped, the reader will have the necessary background to understand research in stochastic analysis. As a textbook, this account will be ideally suited to beginning graduate students in probability theory, and indeed it has evolved from such courses given at Hull University. It should also be of interest to pure mathematicians looking for a careful, yet concise introduction to martingale theory, and to physicists, engineers and economists who are finding that applications to their disciplines are becoming increasingly important.

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Title
Martingales and Stochastic Integrals
Author
P. E. Kopp
Publisher
Cambridge University Press, GB
Publication year
2008
Condition
New
Binding
Paperback
Language
English
ISBN 10
0521090334
ISBN 13
9780521090339
Item weight
320 grams

Rarewaves.com USA

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