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Titlebook: Self-Normalized Processes; Limit Theory and Sta Victor H. Peña,Tze Leung Lai,Qi-Man Shao Book 2009 Springer-Verlag Berlin Heidelberg 2009 B

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书目名称Self-Normalized Processes
副标题Limit Theory and Sta
编辑Victor H. Peña,Tze Leung Lai,Qi-Man Shao
视频video
概述First book that systematically treats the theory and applications of Self-Normalization.Fills a current void in PhD level courses in probability and statistics offered by major Statistics departments.
丛书名称Probability and Its Applications
图书封面Titlebook: Self-Normalized Processes; Limit Theory and Sta Victor H. Peña,Tze Leung Lai,Qi-Man Shao Book 2009 Springer-Verlag Berlin Heidelberg 2009 B
描述.Self-normalized processes are of common occurrence in probabilistic and statistical studies. A prototypical example is Student‘s t-statistic introduced in 1908 by Gosset, whose portrait is on the front cover. Due to the highly non-linear nature of these processes, the theory experienced a long period of slow development. In recent years there have been a number of important advances in the theory and applications of self-normalized processes. Some of these developments are closely linked to the study of central limit theorems, which imply that self-normalized processes are approximate pivots for statistical inference...The present volume covers recent developments in the area, including self-normalized large and moderate deviations, and laws of the iterated logarithms for self-normalized martingales. This is the first book that systematically treats the theory and applications of self-normalization..
出版日期Book 2009
关键词Bootstrapping; Likelihood; Random variable; bootstrap; calculus; large and moderate deviations; law of the
版次1
doihttps://doi.org/10.1007/978-3-540-85636-8
isbn_softcover978-3-642-09926-7
isbn_ebook978-3-540-85636-8Series ISSN 1431-7028
issn_series 1431-7028
copyrightSpringer-Verlag Berlin Heidelberg 2009
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1431-7028 luding self-normalized large and moderate deviations, and laws of the iterated logarithms for self-normalized martingales. This is the first book that systematically treats the theory and applications of self-normalization..978-3-642-09926-7978-3-540-85636-8Series ISSN 1431-7028
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J. Bourgain‘s proof of the dimension conjecture, L. Carleson‘s biorthogonal system in H¹, T. Figiel‘s integral representation, W.B. Johnson‘s factorization of operators, B. Maurey‘s isomorphism, and P. Jones‘ proof of the uniform approximation property. An entire chapter is devoted to the study of c
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ails. In order to make it possible for these different types of readers to use this book effectively, some special signs are used to designate material that is particularly technical or applied or that represents a digression. When the symbol appears at the beginning of a section or a subsection, it
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theory of the results which form the basis of our computational approach. Some curious and rather unexpected identities are established between intermediate valency-specified enumerators and their validity is conjectured for arbitrary cubed odd primes .. We conclude with the enumeration of self-com
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