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Item Details
Title: STOCHASTIC PROCESSES: GENERAL THEORY
By: Malempati M. Rao
Format: Hardback

List price: £97.00


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ISBN 10: 0792337255
ISBN 13: 9780792337256
Publisher: SPRINGER
Pub. date: 31 October, 1995
Edition: 1995 ed.
Series: Mathematics and Its Applications 342
Pages: 628
Description: This study contains the fundamental existence theorem of Kolmogorov, together with several of its extensions to stochastic processes. It treats the function theoretical aspects of processes and includes an extended account of martingales and their generalizations.
Synopsis: Stochastic Processes: General Theory starts with the fundamental existence theorem of Kolmogorov, together with several of its extensions to stochastic processes. It treats the function theoretical aspects of processes and includes an extended account of martingales and their generalizations. Various compositions of (quasi- or semi-)martingales and their integrals are given. Here the Bochner boundedness principle plays a unifying role: a unique feature of the book. Applications to higher order stochastic differential equations and their special features are presented in detail. Stochastic processes in a manifold and multiparameter stochastic analysis are also discussed. Each of the seven chapters includes complements, exercises and extensive references: many avenues of research are suggested. The book is a completely revised and enlarged version of the author's Stochastic Processes and Integration (Noordhoff, 1979). The new title reflects the content and generality of the extensive amount of new material. Audience: Suitable as a text/reference for second year graduate classes and seminars. A knowledge of real analysis, including Lebesgue integration, is a prerequisite.
Illustrations: XII, 628 p.
Publication: Netherlands
Imprint: Springer
Returns: Returnable
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