Multivariate Statistics Beyond Normality

個数：

予約

Multivariate Statistics Beyond Normality

Arellano-Valle, Reinaldo B./ Genton, Marc G.

ウェブストア価格 ¥27,033（本体¥24,576）
Chapman & Hall/CRC（2026/09発売）
外貨定価 US$ 120.00
ポイント 245pt

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製本 Hardcover:ハードカバー版／ページ数 400 p.
言語 ENG
商品コード 9781032963259

Full Description

Multivariate Statistics Beyond Normality is a unique book that provides a modern and original introduction to multivariate statistics and then extends it beyond the multivariate normal distribution. Specifically, the extensions include spherical and elliptical distributions, the skew-normal distributions and related distributions, a detailed treatment of unified skew-elliptical distributions and their sub-models, a study of weighted and selection multivariate distributions, and over 100 illustrative examples. Written by two leading specialists on multivariate statistics, this book includes the most recent and some novel results on skew-normal and related distributions, covering both singular and nonsingular cases in a unified way, and contains unpublished results on elliptical distributions from the first author's Ph.D. thesis. It presents illustrative data applications beyond normality that are relevant to both classical frequentist inference and Bayesian analysis. Designed for a broad readership by starting from basic fundamental concepts and leading to more advanced topics, the book includes 150 exercises, many original, to practice the concepts presented across the chapters, as well as 40 open problems that still need to be further researched.

Key Features

Provides a modern and original introduction to multivariate statistics
Extends classical results beyond normality
Includes over 100 illustrative examples, 100 exercises, and 40 open research problems
Uses color-coded highlights to facilitate learning
Promotes both frequentist statistics and Bayesian analysis

Preface 1 Multivariate Distributions 2 Some Notions of Multivariate Symmetry 3 The Multivariate Normal Distribution 4 Multivariate Spherical and Elliptical Distributions 5 The Multivariate Skew-Normal Distribution 6 The Multivariate Unified Skew-Normal Distribution7 The Multivariate Unified Skew-t Distribution 8 Multivariate Unified Skew-Elliptical Distributions 9 Weighted and Selection Multivariate Distributions 10 Data Applications Beyond Normality A Appendix: Linear Algebra Index