Combinatorial Methods in Density Estimation pdf epub mobi txt 電子書下載2025

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出版者:Springer

作者:Luc Devroye

出品人:

頁數:220

译者:

出版時間:2001-01-12

價格:USD 79.95

裝幀:Hardcover

isbn號碼:9780387951171

叢書系列:

圖書標籤:

非參數統計
統計
數學
組閤數學
密度估計
統計學
機器學習
數據分析
概率論
算法
計算統計
非參數統計
信息論

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具體描述

Density estimation has evolved enormously since the days of bar plots and histograms, but researchers and users are still struggling with the problem of the selection of the bin widths. This book is the first to explore a new paradigm for the data-based or automatic selection of the free parameters of density estimates in general so that the expected error is within a given constant multiple of the best possible error. The paradigm can be used in nearly all density estimates and for most model selection problems, both parametric and nonparametric.

著者簡介

Gabor Lugosi is Professor at Universitat Pompeu Fabra in Barcelona, and Luc Debroye is Professor at McGill University in Montreal. In 1996, the authors, together with Lászlo Györfi, published the successful text, A Probabilistic Theory of Pattern Recognition with Springer-Verlag. Both authors have made many contributions in the area of nonparametric estimation.

圖書目錄

Introduction.- Concentration Inequalities.- Uniform Deviation Inequalities.- Combinatorial Tools.- Total Variation.- Choosing a Density Estimate from a Collection.- Skeleton Estimates.- The Minimum Distance Estimate: Examples.- The Kernel Density Estimate.- Additive Estimates and Data Splitting.- Bandwidth Selection for Kernel Estimates.- Multiparameter Kernel Estimates.- Wavelet Estimates.- The Transformed Kernel Estimate.- Minimax Theory.- Choosing the Kernel Order.- Bandwidth Choice with Superkernels.
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