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e-book

Robustness of Statistical Tests (Cód: 9607617)

Kariya, Takeaki

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Robustness of Statistical Tests

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Descrição

Robustness of Statistical Tests provides a general, systematic finite sample theory of the robustness of tests and covers the application of this theory to some important testing problems commonly considered under normality. This eight-chapter text focuses on the robustness that is concerned with the exact robustness in which the distributional or optimal property that a test carries under a normal distribution holds exactly under a nonnormal distribution.

Chapter 1 reviews the elliptically symmetric distributions and their properties, while Chapter 2 describes the representation theorem for the probability ration of a maximal invariant. Chapter 3 explores the basic concepts of three aspects of the robustness of tests, namely, null, nonnull, and optimality, as well as a theory providing methods to establish them. Chapter 4 discusses the applications of the general theory with the study of the robustness of the familiar Student'apos;s r-test and tests for serial correlation. This chapter also deals with robustness without invariance. Chapter 5 looks into the most useful and widely applied problems in multivariate testing, including the GMANOVA (General Multivariate Analysis of Variance). Chapters 6 and 7 tackle the robust tests for covariance structures, such as sphericity and independence and provide a detailed description of univariate and multivariate outlier problems. Chapter 8 presents some new robustness results, which deal with inference in two population problems.

This book will prove useful to advance graduate mathematical statistics students.

Características

Peso 0.00 Kg
Produto sob encomenda Sim
Marca ELSEVIER S&T
Número de Páginas 208 (aproximado)
Idioma 337
Acabamento e-book
Territorialidade Internacional
Formato Livro Digital Pdf
Gratuito Não
Proteção Drm Sim
Tamanho do Arquivo 9594
Início da Venda 10/05/2014
Código do Formato Pdf
Cód. Barras 9781483266008
Ano da Publicação 114
AutorKariya, Takeaki