Handbook of Statistics 20: Advances in Reliability

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ISBN: 0444500782, 9780444500786

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N. Balakrishnan, C. Radhakrishna Rao0444500782, 9780444500786

he area of Reliability has become a very important and active area of research. This is clearly evident from the large body of literature that has been developed in the form of books, volumes and research papers since 1988 when the previous Handbook of Statistics on this area was prepared by P.R. Krishnaiah and C.R. Rao. This is the reason we felt that this is indeed the right time to dedicate another volume in the Handbook of Statistics series to highlight some recent advances in the area of Reliability.With this purpose in mind, we solicited articles from leading experts working in the area of Reliability from both academia and industry. This, in our opinion, has resulted in a volume with a nice blend of articles (33 in total) dealing with theoretical, methodological and applied issues in Reliability.

Table of contents :
Handbook of Statistics 20: Advances in Reliability……Page 1
Table of contents……Page 3
Preface……Page 14
Contributors……Page 15
1. Basic Probabilistic Models in Reliability……Page 19
2. The Weibull Nonhomogeneous Poisson Process……Page 61
3. Bathtub-Shaped Failure Rate Life Distributions……Page 87
4. Equilibrium Distribution – its Role in Reliability Theory……Page 123
5. Reliability and Hazard Based on Finite Mixture Models……Page 156
6. Mixtures and Monotonicity of Failure Rate Functions……Page 201
7. Hazard Measure and Mean Residual Life Orderings: A Unified Approach……Page 215
8. Some Comparison Results of the Reliability Functions of Some Coherent Systems……Page 231
9. On the Reliability of Hierarchical Structures……Page 242
10. Consecutive k-out-of-n Systems……Page 252
11. Exact Reliability and Lifetime of Consecutive Systems……Page 296
12. Sequential k-out-of-n Systems……Page 316
13. Progressive Censoring: A Review……Page 388
14. Point and Interval Estimation for Parameters of the Logistic Distribution Based on Progressively Type-II Censored Samples……Page 445
15. Progressively Censored Variables-Sampling Plans for Life Testing……Page 471
16. Graphical Techniques for Analysis of Data From Repairable Systems……Page 482
17. A Bayes Approach to the Problem of Making Repairs……Page 498
18. Statistical Analysis for Masked Data……Page 511
19. Analysis of Masked Failure Data under Competing Risks……Page 535
20. Warranty and Reliability……Page 553
21. Statistical Analysis of Reliability Warranty Data……Page 596
22. Prediction of Field Reliability of Units, Each under Differing Dynamic Stresses, from Accelerated Test Data……Page 621
23. Step-Stress Accelerated Life Test……Page 632
24. Estimation of Correlation under Destructive Testing……Page 649
25. System-Based Component Test Plans for Reliability Demonstration: A Review and Survey of the State-of-the-Art……Page 667
26. Life-Test Planning for Preliminary Screening of Materials: A Case Study……Page 686
27. Analysis of Reliability Data from In-House Audit Laboratory Testing……Page 700
28. Software Reliability Modeling, Estimation and Analysis……Page 713
29. Bayesian Analysis for Software Reliability Data……Page 738
30. Direct Graphical Estimation for the Parameters in a Three-Parameter Weibull Distribution……Page 754
31. Bayesian and Frequentist Methods in Change-Point Problems……Page 781
32. The Operating Characteristics of Sequential Procedures in Reliability……Page 792
33. Simultaneous Selection of Extreme Populations from a Set of Two-Parameter Exponential Populations……Page 815
Subject Index……Page 833
Handbook of Statistics: Contents of Previous Volumes……Page 840

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