Data Depth: Robust Multivariate Analysis, Computational Geometry and Applications ( DIMACS - Series in Discrete Mathematics and Theoretical Computer Science )

Publication series :DIMACS - Series in Discrete Mathematics and Theoretical Computer Science

Author: Regina Y. Liu;Robert Serfling;Diane L. Souvaine  

Publisher: American Mathematical Society‎

Publication year: 2017

E-ISBN: 9781470440299

P-ISBN(Paperback): 9780821835968

Subject: O1 Mathematics

Keyword: 暂无分类

Language: ENG

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Data Depth: Robust Multivariate Analysis, Computational Geometry and Applications

Description

The book is a collection of some of the research presented at the workshop of the same name held in May 2003 at Rutgers University. The workshop brought together researchers from two different communities: statisticians and specialists in computational geometry. The main idea unifying these two research areas turned out to be the notion of data depth, which is an important notion both in statistics and in the study of efficiency of algorithms used in computational geometry. Many of the articles in the book lay down the foundations for further collaboration and interdisciplinary research.

Chapter

Title page

Dedication

Contents

Foreword

Preface

Depth functions in nonparametric multivariate inference

Rank tests for multivariate scale difference based on data depth

On scale curves for nonparametric description of dispersion

Data analysis and classification with the zonoid depth

On some parametric, nonparametric and semiparametric discrimination rules

Regression depth and support vector machine

Spherical data depth and a multivariate median

Depth-based classification for functional data

Impartial trimmed means for functional data

Geometric measures of data depth

Computation of half-space depth using simulated annealing

Primal-dual algorithms for data depth

Simplicial depth: An improved definition, analysis, and efficiency for the finite sample case

Fast algorithms for frames and point depth

Statistical data depth and the graphics hardware

Back Cover

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