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Titlebook: Probability Theory with Applications; M. M. Rao,R. J. Swift Textbook 2006Latest edition Springer-Verlag US 2006 Characteristic functions.C

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书目名称Probability Theory with Applications
编辑M. M. Rao,R. J. Swift
视频video
概述Contains a detailed treatment of the distinguishing features of probability theory - namely independence, conditioning and their many applications - leading to a comparative focus on Brownian motion a
丛书名称Mathematics and Its Applications
图书封面Titlebook: Probability Theory with Applications;  M. M. Rao,R. J. Swift Textbook 2006Latest edition Springer-Verlag US 2006 Characteristic functions.C
描述.This book is a revised and expanded edition of a successful graduate and reference text. The material in the book is designed for a standard graduate course on probability theory, including some important applications. This new edition contains a detailed treatment of the core area of probability, and both structural and limit results are presented in full detail. Compared to the first edition, the material and presentation are better highlighted with several (small and large) alterations made to each chapter. Key features of the book include:..- Indicating the need for abstract theory even in applications and showing the inadequacy of existing results for certain apparently simple real-world problems..- Attempting to deal with the existence problems for various classes of random families that figure in the main results of the subject..- Providing a treatment of conditional expectations and of conditional probabilities that is more complete than in other existing textbooks..Since this is a textbook, essentially all proofs are given in complete detail (even at the risk of repetition), and some key results are given multiple proofs when each argument has something to contribute..
出版日期Textbook 2006Latest edition
关键词Characteristic functions; Convergence of random series; Distribution; Markov dependence; Probability dis
版次2
doihttps://doi.org/10.1007/0-387-27731-5
isbn_softcover978-1-4419-3909-8
isbn_ebook978-0-387-27731-8
copyrightSpringer-Verlag US 2006
The information of publication is updating

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https://doi.org/10.1007/0-387-27731-5Characteristic functions; Convergence of random series; Distribution; Markov dependence; Probability dis
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Background Material and PreliminariesIn this chapter, after briefly discussing the beginnings of probability theory we shall review some standard background material. Basic concepts are introduced and immediate consequences are noted. Then the fundamental law of probability and some of its implications are recorded.
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