Theory of U-Statistics (Mathematics and Its Applications) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Vladimir S. Korolyuk 作者

Springer

译者

1993-11-30 出版日期

563 页数

USD 139.00 价格

Hardcover

丛书系列

9780792326083 图书编码

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Theory of U-Statistics (Mathematics and Its Applications) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Theory of U-Statistics (Mathematics and Its Applications) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Theory of U-Statistics (Mathematics and Its Applications) 在线电子书图书描述

This monograph contains, for the first time, a systematic presentation of the theory of U-statistics. On the one hand, this theory is an extension of summation theory onto classes of dependent (in a special manner) random variables. On the other hand, the theory involves various statistical applications. The construction of the theory is concentrated around the main asymptotic problems, namely, around the law of large numbers, the central limit theorem, the convergence of distributions of U-statistics with degenerate kernels, functional limit theorems, estimates for convergence rates, and asymptotic expansions. Probabilities of large deviations and laws of iterated logarithm are also considered. The connection between the asymptotics of U-statistics destributions and the convergence of distributions in infinite-dimensional spaces are discussed. Various generalizations of U-statistics for dependent multi-sample variables and for varying kernels are examined. When proving limit theorems and inequalities for the moments and characteristic functions the martingale structure of U-statistics and orthogonal decompositions are used. The book has ten chapters and concludes with an extensive reference list. For researchers and students of probability theory and mathematical statistics.

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