Theory Of Rank Tests

Hardcover | March 29, 1999

byZbynek Sidak, Pranab K. Sen, Jaroslav Hajek

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The first edition of Theory of Rank Tests 1967 has been the precursor to a unified and theoretically motivated treatise of the basic theory of tests based on ranks of the sample observations. For more than 25 years, it helped raise a generation of statisticians in cultivating their theoretical research in this fertile area, as well as in using these tools in their application oriented research. The present edition not only aims to revive this classical text by updating the findings but also by incorporating several other important areas which were either not properly developed before 1965 or have gone through an evolutionary development during the past 30 years. This edition therefore aims to fulfill the needs of academic as well as professional statisticians who want to pursue nonparametrics in their academic projects, consultation, and applied research works. Key Features* Asymptotic Methods* Nonparametrics* Convergence of Probability Measures* Statistical Inference

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The first edition of Theory of Rank Tests 1967 has been the precursor to a unified and theoretically motivated treatise of the basic theory of tests based on ranks of the sample observations. For more than 25 years, it helped raise a generation of statisticians in cultivating their theoretical research in this fertile area, as well as ...

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The Theory of Rank Tests (developed in 1967) has been the precursor of a unified and theoretically motivated treatise of the basic theory of tests based on ranks of the sample observations, having exact distribution-freeness under the hypotheses of invariance, local optimality properties, computational simplicities, and general asympto...

Zbynek ` idák was Chairman, Department of Probability and Statistics at the Mathematical Institute, Academy of Sciences, Czech Republic. He is now the principal research worker there. He has worked at various American universities as well. For 30 years, he was Editor of the journalApplications of Mathematics. His interests in statistic...

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Format:HardcoverDimensions:435 pagesPublished:March 29, 1999Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0126423504

ISBN - 13:9780126423501

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Table of Contents

Introduction and Coverage. Preliminaries. Elementary Theory of Rank Tests. Selected Rank Tests. Computation of Null Exact Distributions. Limiting Null Distributions. Limiting Non-Null Distributions. Asymptotic Optimality and Efficiency. Rank Estimates and Asymptotic Linearity.

Editorial Reviews

"This book is an updated second edition of the famous and outstanding textbook of Hájek and Sidák. The statistical community is grateful to Sidák and Sen, who continued Hájek's work by their worthwhile treatment of the subject. The present revised and extended edition now presents the topic in a modern form and it is again a landmark."--MATHEMATICAL REVIEWS, Issue 2000h"...statisticians interested in rigorous analysis of the limiting case are likely to find valuable informatin in this book."--JOURNAL OF MATHEMATICAL PSYCHOLOGY, March 2000