Anticipative Girsanov Transformations and Skorohod Stochastic Differential Equations

Author:   Rainer Buckdahn
Publisher:   American Mathematical Society
Volume:   No. 533
ISBN:  

9780821825969


Pages:   88
Publication Date:   30 October 1994
Format:   Paperback
Availability:   Out of stock   Availability explained
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Anticipative Girsanov Transformations and Skorohod Stochastic Differential Equations


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Overview

This book presents a survey of some recent developments in an important subfield of the new subject of anticipative stochastic analysis. D. Nualart and E. Pardoux have developed into a practicable calculus the theory of stochastic integration of processes not necessarily adapted to the driving Wiener process. This leads to anticipative stochastic differential equations with Skorohod integral and to anticipative Girsanov transformations, both of which are studied in the present work. The anticipative Girsanov transformations constitute the main tool for tackling stochastic differential equations with Skorohod integral. However, Buckdahn does not restrict attention only to this aspect but also considers different types of anticipative transformations and derives sufficient conditions for their absolute continuity with respect to the Wiener measure. The stochastic differential equations with Skorohod integral are studied under random initial conditions as well as under random boundary conditions.

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Author:   Rainer Buckdahn
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 533
Weight:   0.198kg
ISBN:  

9780821825969


ISBN 10:   0821825968
Pages:   88
Publication Date:   30 October 1994
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Anticipative stochastic calculus Anticipative Girsanov transformation Anticipative stochastic differential equations References.

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