UID:
almahu_9947367143702882
Format:
1 online resource (453 p.)
Edition:
2nd ed.
ISBN:
1-281-14503-3
,
9786611145033
,
0-08-051910-5
,
0-585-49229-8
Series Statement:
Probability and mathematical statistics
Content:
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
Note:
Description based upon print version of record.
,
Front Cover; THEORY OF RANK TESTS; Copyright Page; Preface to the Second Edition; Preface to the First Edition; Contents; Chapter 1. Introduction and coverage; 1.1 THE BACKGROUND; 1.2 ORGANIZATION OF THE PRESENT TREATISE; Chapter 2. Preliminaries; 2.1 BASIC NOTATION; 2.2 FAMILIES OF ONE-DIMENSIONAL DENSITIES; 2.3 TESTING HYPOTHESES; 2.4 AUXILIARY RESULTS FOR NORMAL SAMPLES; Problems and complements to Chapter2; Chapter 3. Elementary theory of rank tests; 3.1 RANKS AND ORDER STATISTICS; 3.2 PERMUTATION, tNVARIANT, AND RANK TESTS; 3.3 EXPECTATIONS AND VARIANCES OF LINEAR RANK STATISTICS
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3.4 LOCALLY MOST POWERFUL RANK TESTS3.5 STATISTICAL FUNCTIONALS; Problems and complements to Chapter 3; Chapter 4. Selected rank tests; 4.1 TWO-SAMPLE TESTS OF LOCATION; 4.2 TWO-SAMPLE TESTS OF SCALE; 4.3 REGRESSION; 4.4 THREE OR MORE SAMPLES; 4.5 TESTS OF SYMMETRY; 4.6 TESTS OF INDEPENDENCE; 4.7 RANDOM BLOCKS; 4.8 TREATMENT OF TIES; 4.9 RANK TESTS FOR CENSORED DATA; 4.10 MULTIVARIATE RANK TESTS; Problems and complements to Chapter 4; Chapter 5. Computation of null exact distributions; 5.1 DIRECT USE OF DISTRIBUTION OF RANKS; 5.2 EXPLICIT FORMULAS FOR DISTRIBUTIONS
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5.3 RECURRENCE FORMULAS FOR DISTRIBUTIONS5.4 IMPROVEMENTS OF LIMITING DISTRIBUTIONS; Problems and complements to Chapter 5; Chapter 6. Limiting null distributions; 6.1 SIMPLE LINEAR RANK ST4TISTICS; 6.2 RANK STATISTICS OF x2-TYPES; 6.3 STATISTICS OF KOLMOGOROV-SMIRNOV TYPES; 6.4 FUNCTIONAL CENTRAL LIMIT THEOREMS; Problems and complements to Chapter 6; Chapter 7. Limiting non-null distributions; 7.1 CONTIGUITY; 7.2 SIMPLE LINEAR RANK STATISTICS; 7.3 FAMILIES OF SIMPLE LINEAR RANK STATISTICS; 7.4 ASYMPTOTIC POWER,; 7.5 NON-CONTIGUOUS ALTERNATIVES; Problems and complements to Chapter 7
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Chapter 8. Asymptotic optimality and efficiency8.1 ASYMPTOTICALLY OPTIMUM TESTS; 8.2 ASYMPTOTIC EFFICIENCY OF TESTS; 8.3 BAHADUR EFFICIENCY; 8.4 HODGES-LEHMANN DEFICIENCY; 8.5 ADAPTIVE RANK TESTS; Problems and complements to Chapter 8; Chapter 9. Rank estimates and asymptotic linearity; 9.1 R-ESTIMATES OF LOCATION AND REGRESSION; 9.2 ASYMPTOTIC LINEARITY OF RANK STATISTICS IN REGRESSION PARAMETERS; 9.3 RANK ESTIMATION OF REGRESSION PARAMETERS; Problems and complements to Chapter 9; Chapter 10. Miscellaneous topics in regression rank tests; 10.1 ALIGNED RANK TESTS; 10.2 REGRESSION RANK SCORES
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10.3 RANK VERSUS OTHER ROBUST PROCEDURESProblems and complements to Chapter 10 . .; Bibliography; Subject index; Author index; Index of mathematical symbols; Titles in this series
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English
Additional Edition:
ISBN 0-12-642350-4
Language:
English
