Hardbound. Major theoretical advances were made in this area of research, and in the course of these developments order statistics has also found important applications in many diverse areas. These include life-testing and reliability, robustness studies, statistical quality control, filtering theory, signal processing, image processing, and radar target detection.
Theoretical researchers working on theoretical and methodological advancements on order statistics and applied statisticians and engineers developing new and innovative applications of order statistics have been successfully brought together to create this handbook. For the convenience of readers, the subject matter has been divided into two volumes. This volume focuses on theory and methods, and volume 17 deals primarily with applications. Each volume has been divided into parts, each part specializing in one aspect of order statistics. The articles in this volume have been classified into
Author(s): Balakrishnan N., Rao C. (eds.)
Edition: 1
Publisher: Elsevier Science
Year: 1998
Language: English
Pages: 721
Handbook of Statistics 16: Order Statistics: Theory & Methods......Page 1
Table of contents......Page 3
Preface......Page 11
Contributors......Page 14
1. Order Statistics: An Introduction......Page 16
2. Order Statistics: A Historical Perspective......Page 38
3. Computer Simulation of Order Statistics......Page 78
4. Lorenz Ordering of Order Statistics and Record Values......Page 86
5. Stochastic Ordering of Order Statistics......Page 99
6. Bounds for Expectations of L-Estimates......Page 114
7. Recurrence Relations and Identities for Moments of Order Statistics......Page 155
8. Recent Approaches to Characterizations Based on Order Statistics and Record Values......Page 235
9. Characterizations of Distributions via Identically Distributed Functions of Order Statistics......Page 261
10. Characterizations of Distributions by Recurrence Relations and Identities for Moments of Order Statistics......Page 295
11. Univariate Extreme Value Theory and Applications......Page 316
12. Order Statistics: Asymptotics in Applications......Page 335
13. Zero-One Laws for Large Order Statistics......Page 374
14. Some Exact Properties Of Cook's Di......Page 384
15. Generalized Recurrence Relations for Moments of Order Statistics from Non-Identical Pareto and Truncated Pareto Random Variables with Applications to Robustness......Page 400
16. A Semiparametric Bootstrap for Simulating Extreme Order Statistics......Page 436
17. Approximations to Distributions of Sample Quantiles......Page 458
18. Concomitants of Order Statistics......Page 480
19. A Record of Records......Page 507
20. Weighted Sequential Empirical Type Processes with Applications to Change-Point Problems......Page 563
21. Sequential Quantile and Bahadur-Kiefer Processes......Page 621
Author Index......Page 679
Subject Index......Page 691
Handbook of Statistics: Contents of Previous Volumes......Page 705
