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Titlebook: Two-Parameter Martingales and Their Quadratic Variation; Peter Imkeller Book 1988 Springer-Verlag Berlin Heidelberg 1988 Martingal.Marting

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书目名称Two-Parameter Martingales and Their Quadratic Variation
编辑Peter Imkeller
视频video
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Two-Parameter Martingales and Their Quadratic Variation;  Peter Imkeller Book 1988 Springer-Verlag Berlin Heidelberg 1988 Martingal.Marting
描述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.
出版日期Book 1988
关键词Martingal; Martingale; Parameter; Stochastic calculus; Variation; calculus; quadratic variation
版次1
doihttps://doi.org/10.1007/BFb0078096
isbn_softcover978-3-540-19233-6
isbn_ebook978-3-540-39148-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1988
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