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Titlebook: Stochastic Integration and Differential Equations; A New Approach Philip Protter Book 19901st edition Springer-Verlag Berlin Heidelberg 199

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书目名称Stochastic Integration and Differential Equations
副标题A New Approach
编辑Philip Protter
视频video
丛书名称Stochastic Modelling and Applied Probability
图书封面Titlebook: Stochastic Integration and Differential Equations; A New Approach Philip Protter Book 19901st edition Springer-Verlag Berlin Heidelberg 199
描述The idea of this book began with an invitation to give a course at the Third Chilean Winter School in Probability and Statistics, at Santiago de Chile, in July, 1984. Faced with the problem of teaching stochastic integration in only a few weeks, I realized that the work of C. Dellacherie [2] provided an outline for just such a pedagogic approach. I developed this into aseries of lectures (Protter [6]), using the work of K. Bichteler [2], E. Lenglart [3] and P. Protter [7], as well as that of Dellacherie. I then taught from these lecture notes, expanding and improving them, in courses at Purdue University, the University of Wisconsin at Madison, and the University of Rouen in France. I take this opportunity to thank these institut ions and Professor Rolando Rebolledo for my initial invitation to Chile. This book assumes the reader has some knowledge of the theory of stochastic processes, including elementary martingale theory. While we have recalled the few necessary martingale theorems in Chap. I, we have not provided proofs, as there are already many excellent treatments of martingale theory readily available (e. g. , Breiman [1], Dellacherie-Meyer [1,2], or Ethier­ Kurtz [1]). Th
出版日期Book 19901st edition
关键词Markov; Martingal; Martingale; Semimartingal; Semimartingale; Stochastic Integration; boundary element met
版次1
doihttps://doi.org/10.1007/978-3-662-02619-9
isbn_ebook978-3-662-02619-9Series ISSN 0172-4568 Series E-ISSN 2197-439X
issn_series 0172-4568
copyrightSpringer-Verlag Berlin Heidelberg 1990
The information of publication is updating

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0172-4568 o de Chile, in July, 1984. Faced with the problem of teaching stochastic integration in only a few weeks, I realized that the work of C. Dellacherie [2] provided an outline for just such a pedagogic approach. I developed this into aseries of lectures (Protter [6]), using the work of K. Bichteler [2]
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Semimartingales and Decomposable Processes,pted processes with left continuous, right-limited paths. Such a space of integrands suffices to establish a change of variables formula (or “Itô’s formula”), and it also suffices for many applications, such as the study of stochastic differential equations. Nevertheless the space L is not general e
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General Stochastic Integration and Local Times,ess an integral as a limit of sums requires some path smoothness of the integrands and we limited our attention to processes in L: the space of adapted processes with paths that are left continuous and have right limits. The space L is sufficient to prove Itô’s formula, the Girsanov-Meyer theorem, a
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Stochastic Differential Equations,rownian motion, the primary method of studying diffusions was to study their transition semigroups; this was equivalent to studying the infinitesimal generators of their semigroups, which are partial differential operators. Thus Feller’s investigations of diffusions (for example) were actually inves
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Book 19901st edition, in July, 1984. Faced with the problem of teaching stochastic integration in only a few weeks, I realized that the work of C. Dellacherie [2] provided an outline for just such a pedagogic approach. I developed this into aseries of lectures (Protter [6]), using the work of K. Bichteler [2], E. Lengl
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