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Item Details
Title: TWO-PARAMETER MARTINGALES AND THEIR QUADRATIC VARIATION
By: Peter Imkeller
Format: Paperback

List price: £22.99


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ISBN 10: 3540192336
ISBN 13: 9783540192336
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 11 May, 1988
Edition: 1988 ed.
Series: Lecture Notes in Mathematics No. 1308
Pages: 177
Description: An introduction to general theory of two-parameter processes that has developed since around 1975. It presents results of research by the author on martingale theory and stochastic calculus for two-parameter processes. It is suitable for those who are interested in the theory of two-parameter processes and basics of their stochastic calculus.
Synopsis: This book has two-fold aims. In a first part it gives an introductory, thorough and essentially self-contained treatment of the general theory of two-parameter processes that has developed since around 1975. Apart from two survey papers by Merzbach and Meyer it is the first text of this kind. The second part presents the results of recent research by the author on martingale theory and stochastic calculus for two-parameter processes. Both the results and the methods of these two chapters are almost entirely new, and are of particular interest. They provide the fundamentals of a general stochastic analysis of two-parameter processes including, in particular, so far inaccessible jump phenomena. The typical rader is assumed to have some basic knowledge of the general theory of one-parameter martingales. The book should be accessible to probabilistically interested mathematicians who a) wish to become acquainted with or have a complete treatment of the main features of the general theory of two-parameter processes and basics of their stochastic calculus, b) intend to learn about the most recent developments in this area.
Illustrations: biography
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Returnable
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