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Titlebook: Probability Theory; Independence, Interc Yuan Shih Chow,Henry Teicher Textbook 1997Latest edition Springer Science+Business Media New York

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發(fā)表于 2025-3-21 16:11:18 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Probability Theory
副標題Independence, Interc
編輯Yuan Shih Chow,Henry Teicher
視頻videohttp://file.papertrans.cn/757/756893/756893.mp4
概述A classic book, now in its third edition, is an essential reference to researchers and graduate students in probability theory.The new edition contains much new material, including U-statistic, additi
叢書名稱Springer Texts in Statistics
圖書封面Titlebook: Probability Theory; Independence, Interc Yuan Shih Chow,Henry Teicher Textbook 1997Latest edition Springer Science+Business Media New York
描述Now available in paperback. This is a text comprising the major theorems of probability theory and the measure theoretical foundations of the subject. The main topics treated are independence, interchangeability,and martingales; particular emphasis is placed upon stopping times, both as tools in proving theorems and as objects of interest themselves. No prior knowledge of measure theory is assumed and a unique feature of the book is the combined presentation of measure and probability. It is easily adapted for graduate students familar with measure theory as indicated by the guidelines in the preface. Special features include:?A comprehensive treatment of the law of the iterated logarithm;?the Marcinklewicz-Zygmund inequality, its extension to martingales and applications thereof;??development and applications of the second moment analogue of Wald‘s equation; limit theorems for martingale arrays, the central limit theorem for the interchangeable and martingale cases, moment convergence in the central limit theorem; complete discussion, including central limit theorem, of the random casting of r balls into n cells; recent martingale inequalities; Cram r-L vy theore and factor-closed
出版日期Textbook 1997Latest edition
關鍵詞Conditional probability; Maxima; Probability space; Probability theory; Random variable; Uniform integrab
版次3
doihttps://doi.org/10.1007/978-1-4612-1950-7
isbn_softcover978-0-387-40607-7
isbn_ebook978-1-4612-1950-7Series ISSN 1431-875X Series E-ISSN 2197-4136
issn_series 1431-875X
copyrightSpringer Science+Business Media New York 1997
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 20:53:41 | 只看該作者
Independence,ion of independence is the abstract counterpart of a highly intuitive and empirical notion.Independence of random variables{X.},the definition of which involves the events of σ(X.),will be shown in Section 2 to concern only the joint distribution functions.
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Distribution Functions and Characteristic Functions,ability measures determined by, the given d.f.s. Since r.v.s possessing preassigned d.f.s can always be defined on some probability space, the language of r.v.s and probability will be utilized in many of the proofs without further ado.
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Martingales,two cases, it is natural to refer to a martingale {S...n ≥ 1} as an upward martingale and to allude to a martingale {S...n ≤ - 1} when written {S...,n ≥ 1.as a downward or reverse martingale. Martingale and stochastic inequalities will also be dealt with.
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Textbook 1997Latest edition The main topics treated are independence, interchangeability,and martingales; particular emphasis is placed upon stopping times, both as tools in proving theorems and as objects of interest themselves. No prior knowledge of measure theory is assumed and a unique feature of the book is the combined
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發(fā)表于 2025-3-22 23:52:28 | 只看該作者
1431-875X on contains much new material, including U-statistic, additiNow available in paperback. This is a text comprising the major theorems of probability theory and the measure theoretical foundations of the subject. The main topics treated are independence, interchangeability,and martingales; particular
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