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Titlebook: Introduction to Stochastic Integration; K.L. Chung,R.J. Williams Textbook 20142nd edition Springer Science+Business Media New York 2014 Br

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發(fā)表于 2025-3-21 19:28:24 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Introduction to Stochastic Integration
編輯K.L. Chung,R.J. Williams
視頻videohttp://file.papertrans.cn/475/474228/474228.mp4
概述Affordable, softcover reprint of a classic textbook.Authors‘ exposition consistently chooses clarity over brevity.Includes an expanded collection of exercises from the first edition.Includes supplemen
叢書名稱Modern Birkh?user Classics
圖書封面Titlebook: Introduction to Stochastic Integration;  K.L. Chung,R.J. Williams Textbook 20142nd edition Springer Science+Business Media New York 2014 Br
描述.A highly readable introduction to stochastic integration and stochastic differential equations, this book combines developments of the basic theory with applications. It is written in a style suitable for the text of a graduate course in stochastic calculus, following a course in probability..Using the modern approach, the stochastic integral is defined for predictable integrands and local martingales; then It’s change of variable formula is developed for continuous martingales. Applications include a characterization of Brownian motion, Hermite polynomials of martingales, the Feynman–Kac functional and the?Schr?dinger equation. For Brownian motion, the topics of local time, reflected Brownian motion, and time change are discussed..New to the second edition are a discussion of the Cameron–Martin–Girsanov transformation and a final chapter which provides an introduction to stochastic differential equations, as well as many exercises for classroom use..This book willbe a valuable resource to all mathematicians, statisticians, economists, and engineers employing the modern tools of stochastic analysis..The text also proves that stochastic integration has made an important impact on m
出版日期Textbook 20142nd edition
關(guān)鍵詞Brownian motion; Schr?dinger equation; martingales; stochastic differential equations; stochastic integr
版次2
doihttps://doi.org/10.1007/978-1-4614-9587-1
isbn_softcover978-1-4614-9586-4
isbn_ebook978-1-4614-9587-1Series ISSN 2197-1803 Series E-ISSN 2197-1811
issn_series 2197-1803
copyrightSpringer Science+Business Media New York 2014
The information of publication is updating

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發(fā)表于 2025-3-21 23:08:48 | 只看該作者
K.L. Chung,R.J. WilliamsAffordable, softcover reprint of a classic textbook.Authors‘ exposition consistently chooses clarity over brevity.Includes an expanded collection of exercises from the first edition.Includes supplemen
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Modern Birkh?user Classicshttp://image.papertrans.cn/i/image/474228.jpg
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978-1-4614-9586-4Springer Science+Business Media New York 2014
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Introduction to Stochastic Integration978-1-4614-9587-1Series ISSN 2197-1803 Series E-ISSN 2197-1811
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Quadratic Variation Process,For the remainder of this book, we shall only consider integrators . which are . local martingales. By Proposition 1.9 these are automatically local ..-martingales. A more extensive treatment, encompassing right continuous integrators would require more elaborate considerations which are not suitable for inclusion in this short book.
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