U-Statistics in Banach Spaces 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Borovskhikh, Yu V. 作者

VSP International Science Publishers

譯者

1996-4 出版日期

432 頁數

$ 516.41 價格

HRD

叢書系列

9789067642002 圖書編碼

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發表於2024-11-23

U-Statistics in Banach Spaces 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

U-Statistics in Banach Spaces 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

U-Statistics in Banach Spaces 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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U-Statistics in Banach Spaces 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

U-Statistics in Banach Spaces 在線電子書圖書描述

U-statistics are universal objects of modern probabilistic summation theory. They appear in various statistical problems and have very important applications. The mathematical nature of this class of random variables has a functional character and, therefore, leads to the investigation of probabilistic distributions in infinite-dimensional spaces. The situation when the kernel of a U-statistic takes values in a Banach space, turns out to be the most natural and interesting. This book systematically presents the probabilistic theory of U-statistics with values in Banach spaces (UB-statistics), which have been developed to date. The exposition of the material is based around the following topics: algebraic and martingale properties of U-statistics; inequalities; law of large numbers; the central limit theorem; weak convergence to a Gaussian chaos and multiple stochastic integrals; invariance principle and functional limit theorems; estimates of the rate of weak convergence; asymptotic expansion of distributions; large deviations; law of iterated logarithm; dependent variables; relation between Banach-valued U-statistics and functionals from permanent random measures. The book should be of interest to researchers working in probability and statistics.

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