Theory of Rank TestsThe 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.

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Contents
1  
10  
35  
Chapter 4 Selected rank tests  94 
Chapter 5 Computation of null exact distributions  165 
Chapter 6 Limiting null distributions  183 
Chapter 7 Limiting nonnull distributions  249 
Chapter 8 Asymptotic optimality and efficiency  299 
Chapter 9 Rank estimates and asymptotic linearity  358 
Chapter 10 Miscellaneous topics in regression rank tests  383 
407  
425  
429  
433  
Titles in this series  437 
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Common terms and phrases
absolutely continuous aligned rank tests alternatives approximate arbitrary assume asymp asymptotic efficiency asymptotic linearity asymptotic power asymptotically normal asymptotically optimum basic Brownian bridge censoring scheme Chapter coefficient conditional consider convergence converges in distribution corresponding critical region defined denote density f distribution function empirical distribution function equals equivalent estimates finite Fisher information formula function F gfield given Hájek hence holds implies independent invariance Jurecková Kolmogorov–Smirnov Lemma linear models linear rank statistics locally most powerful martingale median test multivariate noncentral nondecreasing normal distribution Note null hypothesis observations order statistics permutation permutation tests powerful rank test powerful test properties Restimates random variables respectively satisfy score function Section sequence stochastic Subsection symmetric test based test statistic theory of rank tion twosample variance vector Wilcoxon test