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Theory of Rank Tests, Second Edition (Probability and Mathematical Statistics)
 
 
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Theory of Rank Tests, Second Edition (Probability and Mathematical Statistics) [Hardcover]

Zbynek Sidak (Author), Pranab K. Sen (Author), Jaroslav Hajek (Author)

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Book Description

0126423504 978-0126423501 April 12, 1999 2
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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Editorial Reviews

Review

"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

From the Back Cover

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 asymptotic properties in a broader setup.

For more than 25 years, before the book went out of print, this text has raised 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 theory of Rank Tests has probably the highest citation in statistical inference Citation Indexes.

The present edition not only aims to revive this classical text by updating the findings but also in incorporating several other important areas
those were either not properly developed before 1965 or have gone through an evolutionary development during the past 30 years. In that way,
the current venture aims to fulfill the need for all these academic as well as professional statisticians who want to pursue nonparametrics in their academic projects, consulation and applied research works. It is a unique blending of theory with fruitful applications in mind.

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Inside This Book (learn more)
First Sentence:
Our treatise of the theory of rank tests comprises a specialized and yet important sector of the general theory of testing statistical hypotheses with due attention to the dual rank-based R-estimation theory. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
aligned rank tests, locally most powerful rank test, asymptotically optimum test, asymptotic linearity results, most powerful rank tests, linear rank statistics, aligned rank statistics, regression rank scores, envelope power function, aligned observations, untied observations, test with critical region, score generating function, asymptotically most powerful test, known regression constants, contiguous alternatives, quadrant test, censoring schemes, normal scores test, linear rank tests, approximate scores, exact slope, statistical functionals, martingale characterization, locally most powerful test
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Tests of Kolmogorov-Smirnov, Prove Theorem
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