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Order Statistics Herbert A. David (Iowa State University, Ames, IA, USA)

Order Statistics By Herbert A. David (Iowa State University, Ames, IA, USA)

Summary

Considerable changes have occurred in the field of order statistics in the nearly 20 years since Order Statistics, second edition was published. This third edition gives a helpful account of order statistics, useful to students as well as those needing a guide to the extensive literature.

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Order Statistics Summary

Order Statistics by Herbert A. David (Iowa State University, Ames, IA, USA)

This volume provides an up-to-date coverage of the theory and applications of ordered random variables and their functions.
Furthermore, it develops the distribution theory of OS systematically.
Applications include procedures for the treatment of outliers and other data analysis techniques.
Even when chapter and section headings are the same as in OSII, there are appreciable changes, mostly additions, with some obvious deletions. Parts of old Ch. 7, for example, are prime candidates for omission.
Appendices are designed to help collate tables, computer algorithms, and software, as well as to compile related monographs on the subject matter.
Extensive exercise sets will continue, many of them replaced by newer ones.

Order Statistics Reviews

...Order Statistics will continue to be the most valuable source of reference for students and researchers alike. (Journal of the American Statistical Association, September 2004)

This book will be a useful addition to the library of any statistician. It is also a useful guide for students whose interest involves order statistics. (Technometrics, August 2004, Vol. 46, No. 3)

...continues to be both the textbook and guide to the research literature...the authors present in detail an up-to-date account of...the basic results of the subject of order statistics. (Mathematical Reviews, 2004f)

...an up-to-date account of the basic results of the subject... (Quarterly of Applied Mathematics, Vol. LXII, No. 1, March 2004)

About Herbert A. David (Iowa State University, Ames, IA, USA)

H. A. DAVID, PhD, is a Distinguished Professor Emeritus in the Department of Statistics at Iowa State University. He has authored over 100 publications, including the Second Edition of Order Statistics.
H. N. NAGARAJA, PhD, is a professor in the Departments of Statistics and Internal Medicine at The Ohio State University. He coedited, along with P. K. Sen and D. F. Morrison, Statistical Theory and Applications: Papers in Honor of H. A. David, and coauthored, along with B. C. Arnold and N. Balakrishnan, Records.

Table of Contents

Preface.

1. Introduction.

2. Basic Distribution Theory.

3. Expected Values and Moments.

4. Bounds and Approximations for Moments of Order Statistics.

5. The NON-IID Case.

6. Further Distribution Theory.

7. Order Statistics in Nonparametric Inference.

8. Order Statistics in Parametric Inference.

9. Short-Cut Procedures.

10. Asymptotic Theory.

11. Asymptotic Results for Functions of Order Statistics.

Appendix: Guide to Tables and Algorithms.

References.

Index.

Additional information

CIN0471389269G
9780471389262
0471389269
Order Statistics by Herbert A. David (Iowa State University, Ames, IA, USA)
Used - Good
Hardback
John Wiley & Sons Inc
20030815
488
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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