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Titlebook: Weak Convergence and Empirical Processes; With Applications to A. W. van der Vaart,Jon A. Wellner Book 2023Latest edition Springer Nature S

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書(shū)目名稱(chēng)Weak Convergence and Empirical Processes
副標(biāo)題With Applications to
編輯A. W. van der Vaart,Jon A. Wellner
視頻videohttp://file.papertrans.cn/1022/1021354/1021354.mp4
概述Includes new coverage of Glivenko-Cantelli preservation theorems & new applications in statistics.Covers a range of applications in statistics including rates of convergence of estimators.Presents a t
叢書(shū)名稱(chēng)Springer Series in Statistics
圖書(shū)封面Titlebook: Weak Convergence and Empirical Processes; With Applications to A. W. van der Vaart,Jon A. Wellner Book 2023Latest edition Springer Nature S
描述This book provides an account of weak convergence theory, empirical processes, and their application to a wide variety of problems in statistics. The first part of the book presents a thorough treatment of stochastic convergence in its various forms. Part 2 brings together the theory of empirical processes in a form accessible to statisticians and probabilists. In Part 3, the authors cover a range of applications in statistics including rates of convergence of estimators; limit theorems for M? and Z?estimators; the bootstrap; the functional delta-method and semiparametric estimation. Most of the chapters conclude with “problems and complements.” Some of these are exercises to help the reader’s understanding of the material, whereas others are intended to supplement the text.?.This second edition includes many of the new developments in the field since publication of the first edition in 1996: Glivenko-Cantelli preservation theorems; new bounds on expectations ofsuprema of empirical processes; new bounds on covering numbers for various function classes; generic chaining; definitive versions of concentration bounds; and new applications in statistics including penalized M-estimation,
出版日期Book 2023Latest edition
關(guān)鍵詞Weak Convergence; Empirical Processes; Glivenko-Cantelli Theorems; Donsker Theorems; Bracketing Entropy;
版次2
doihttps://doi.org/10.1007/978-3-031-29040-4
isbn_ebook978-3-031-29040-4Series ISSN 0172-7397 Series E-ISSN 2197-568X
issn_series 0172-7397
copyrightSpringer Nature Switzerland AG 2023
The information of publication is updating

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A. W. van der Vaart,Jon A. Wellnericology of the chemicals loosed upon the earth. Among the sequelae of this broad new emphasis is an undeniable need for an articulated set of authoritative publications, where one can find the latest impor- tant world literature produced by these emerging areas of science together with documentation
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t up to carry out the complete resolution of the problem. Results are presented and compared to experimental values. Finally, in order to provide a simpler relationship to the user, a third-order polynomial expansion was developed, which gives a good approximation of the exact values over specified
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A. W. van der Vaart,Jon A. Wellnertween one millimeter and one-tenth millimeter that this source of radiation can be considered to be step-tunable. Of course, labora- tory scientists still depend upon the black body source (mercury vapor lamp) and the Fourier transform spectrometer to provide con- tinuous spectra, but for this we mu
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