Theory of Rank Tests

Theory of Rank Tests

2nd Edition - March 29, 1999

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  • Authors: Zbynek Sidak, Pranab Sen, Jaroslav Hajek
  • Hardcover ISBN: 9780126423501
  • eBook ISBN: 9780080519104

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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


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

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.

Product details

  • No. of pages: 435
  • Language: English
  • Copyright: © Academic Press 1999
  • Published: March 29, 1999
  • Imprint: Academic Press
  • Hardcover ISBN: 9780126423501
  • eBook ISBN: 9780080519104

About the Authors

Zbynek Sidak

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

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

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.

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