Theory of Rank Tests - 2nd Edition - ISBN: 9780126423501, 9780080519104

Theory of Rank Tests

2nd Edition

Authors: Zbynek Sidak Pranab Sen Jaroslav Hajek
Hardcover ISBN: 9780126423501
eBook ISBN: 9780080519104
Imprint: Academic Press
Published Date: 29th March 1999
Page Count: 435
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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.


Description

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.

Key Features

@introbul:Key Features @bul:* Asymptotic Methods

  • Nonparametrics
  • Convergence of Probability Measures
  • Statistical Inference

Readership

Graduate students in mathematical sciences (statistics, applied statistics, and biostatistics), academics, professional statisticians, and mathematicians.


Details

No. of pages:
435
Language:
English
Copyright:
© Academic Press 1999
Published:
Imprint:
Academic Press
eBook ISBN:
9780080519104
Hardcover ISBN:
9780126423501

Reviews

"This book is an updated second edition of the famous and outstanding textbook of Hájek and Šidák. The statistical community is grateful to Šidák 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." @source:--MATHEMATICAL REVIEWS, Issue 2000h @qu:"...statisticians interested in rigorous analysis of the limiting case are likely to find valuable informatin in this book." @source:--JOURNAL OF MATHEMATICAL PSYCHOLOGY, March 2000


About the Authors

Zbynek Sidak Author

Zbynek Šidák 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 journal Applications of Mathematics. His interests in statistics were rank tests, multivariate and cluster analysis, ranking and selection procedures, and Markov chains.

Affiliations and Expertise

Mathematical Institute Academy of Sciences, Czech Republic

Pranab Sen Author

Pranab K. Sen is Cary C. Boshamer Professor of Biostatistics and Statistics at the University of North Carolina, and is a Fellow of the Institute of Mathematical Statistics and of the American Statistical Association. He is also an elected member of the International Statistical Institute.Prenab K. Sen is author or co-author of multiple volumes in Mathematical Statistics, Probability Theory and Biostatistics, and has published extensively in nonparametrics, multivariate and sequential analysis, and reliability and survival analysis.

Affiliations and Expertise

University of North Carolina, Chapel Hill, U.S.A.

Jaroslav Hajek Author

Jaroslav Hájek was Professor and Chairman, Department of Probability and Statistics at Charles University, Prague, Czech Republic, and also a Visiting Professor at several American universities. His contributions to statistics are very profound, especially in rank test theory, survey sampling, estimation theory, and statistics in random processes. He died in 1974 at the age of 48.