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Titlebook: Decoupling; From Dependence to I Víctor H. Pe?a,Evarist Giné Book 1999 Springer Science+Business Media New York 1999 Law of large numbers.M

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發(fā)表于 2025-3-21 18:05:20 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Decoupling
副標題From Dependence to I
編輯Víctor H. Pe?a,Evarist Giné
視頻videohttp://file.papertrans.cn/265/264500/264500.mp4
概述A friendly and systematic introduction to the theory and applications of decoupling Special emphasis is given to the comparison and interplay between martingale and decoupling theories Applications ar
叢書名稱Probability and Its Applications
圖書封面Titlebook: Decoupling; From Dependence to I Víctor H. Pe?a,Evarist Giné Book 1999 Springer Science+Business Media New York 1999 Law of large numbers.M
描述Decoupling theory provides a general framework for analyzing problems involving dependent random variables as if they were independent. It was born in the early eighties as a natural continuation of martingale theory and has acquired a life of its own due to vigorous development and wide applicability. The authors provide a friendly and systematic introduction to the theory and applications of decoupling. The book begins with a chapter on sums of independent random variables and vectors, with maximal inequalities and sharp estimates on moments which are later used to develop and interpret decoupling inequalities. Decoupling is first introduced as it applies in two specific areas, randomly stopped processes (boundary crossing problems) and unbiased estimation (U-- statistics and U--processes), where it has become a basic tool in obtaining several definitive results. In particular, decoupling is an essential component in the development of the asymptotic theory of U-- statistics and U--processes. The authors then proceed with the theory of decoupling in full generality. Special attention is given to comparison and interplay between martingale and decoupling theory, and to application
出版日期Book 1999
關(guān)鍵詞Law of large numbers; Martingale; Maxima; Random variable; law of the iterated logarithm; random function
版次1
doihttps://doi.org/10.1007/978-1-4612-0537-1
isbn_softcover978-1-4612-6808-6
isbn_ebook978-1-4612-0537-1Series ISSN 1431-7028
issn_series 1431-7028
copyrightSpringer Science+Business Media New York 1999
The information of publication is updating

書目名稱Decoupling影響因子(影響力)




書目名稱Decoupling影響因子(影響力)學科排名




書目名稱Decoupling網(wǎng)絡(luò)公開度




書目名稱Decoupling網(wǎng)絡(luò)公開度學科排名




書目名稱Decoupling被引頻次




書目名稱Decoupling被引頻次學科排名




書目名稱Decoupling年度引用




書目名稱Decoupling年度引用學科排名




書目名稱Decoupling讀者反饋




書目名稱Decoupling讀者反饋學科排名




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沙發(fā)
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Limit Theorems for ,-Statistics,his chapter and in the next. In this chapter we consider U-statistics. In general, we are interested in the “three gems” of classical probability theory, the law of large numbers, the central limit theorem, and the law of the iterated logarithm. Some inequalities, such as exponential and Hoffmann-Jo
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Limit Theorems for ,-Statistics,ry, the law of large numbers, the central limit theorem, and the law of the iterated logarithm. Some inequalities, such as exponential and Hoffmann-Jorgensen-type inequalities, are also considered, mainly as first examples of application of decoupling and randomization, but also for their intrinsic interest.
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General Decoupling Inequalities for Tangent Sequences,mediate past. This tangency property of “shared conditional distributions given the immediate past” is the prevailing concept that has driven the development of the theory. It is surprising that this (minimal) assumption gives rise to such a wealth of interesting and useful results.
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Book 1999 the early eighties as a natural continuation of martingale theory and has acquired a life of its own due to vigorous development and wide applicability. The authors provide a friendly and systematic introduction to the theory and applications of decoupling. The book begins with a chapter on sums of
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