Handbook of Statistics: Order Statistics: Applications

N. Balakrishnan, C.R. Rao0444829229, 9780444829221

Hardbound. Volume 17 of the Handbook of Statistics is the concluding volume covering Order Statistics. Dealing primarily with Applications, it is divided into six parts as follows: Results for Specific Distributions, Linear Estimation, Inferential Methods, Prediction, Goodness-of-fit Tests and Applications. 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, th

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Table of contents :
Handbook of Statistics 17: Order Statistics: Applications……Page 1
Table of contents……Page 3
Preface……Page 11
Contributors……Page 14
1. Order Statistics in Exponential Distribution……Page 16
2. Higher Order Moments of Order Statistics from Exponential and Right-truncated Exponential Distributions and Applications to Life-testing Problems……Page 37
3. Log-gamma Order Statistics and Linear Estimation of Parameters……Page 72
4. Recurrence Relations for Single and Product Moments of Order Statistics from a Generalized Logistic Distribution with Applications to Inference and Generalizations to Double Truncation……Page 95
5. Order Statistics from the Type III Generalized Logistic Distribution and Applications……Page 137
6. Estimation of Scale Parameter Based on a Fixed Set of Order Statistics……Page 166
7. Optimal Linear Inference Using Selected Order Statistics in Location-Scale Models……Page 189
8. L-Estimation……Page 220
9. On Some L-estimation in Linear Regression Models……Page 241
10. The Role of Order Statistics in Estimating Threshold Parameters……Page 285
11. Parameter Estimation under Multiply Type-II Censoring……Page 317
12. On Some Aspects of Ranked Set Sampling in Parametric Estimation……Page 338
13. Some Uses of Order Statistics in Bayesian Analysis……Page 379
14. Inverse Sampling Procedures to Test for Homogeneity in a Multinomial Distribution……Page 401
15. Prediction of Order Statistics……Page 428
16. The Probability Plot: Tests of Fit Based on the Correlation Coefficient……Page 448
17. Distribution Assessment……Page 469
18. Application of Order Statistics to Sampling Plans for Inspection by Variables……Page 489
19. Linear Combinations of Ordered Symmetric Observations with Applications to Visual Acuity……Page 504
20. Order-Statistic Filtering and Smoothing of Time-Series: Part I……Page 516
21. Order-Statistic Filtering and Smoothing of Time-Series: Part II……Page 546
22. Order Statistics in Image Processing……Page 594
23. Order Statistics Application to CFAR Radar Target Detection……Page 633
Author Index……Page 662
Subject Index……Page 668
Handbook of Statistics: Contents of Previous Volumes……Page 684