System and Bayesian reliability : essays in honor of Professor Richard E. Barlow on his 70th birthday / editors, Yu Hayakawa, Telba Irony, Min Xie.

Includes bibliographical references and index.

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Foreword by Dennis V. Lindley; Foreword by Asit P. Basu; Preface; Acknowledgements; Contents; PART 1 SYSTEM RELIABILITY ANALYSIS; Chapter 1 ON REGULAR RELIABILITY MODELS; 1. Introduction; 2. F Reliability Models and G Reliability Models; 3. Efficient Reliability Algorithms for Regular Models; 4. Applications; 5. Further Research; References; Chapter 2 BOUNDING SYSTEM RELIABILITY; 1. Introduction; 2. Using the Conditional Expectation Inequality to Bound the Reliability Function; 3. Bounds When Component States Are Dependent; 4. Summary; Acknowledgements; References.

Chapter 3 LARGE EXCESSES FOR FINITE-STATE MARKOV CHAINS1. Summary; 2. The Rate; 3. Example; References; Chapter 4 HARDWARE-SOFTWARE RELIABILITY PERSPECTIVES; 1. Introduction; 2. Software Development Process; 3. Software Reliability Modeling; 4. Generalized Models with Environmental Factors; 5. Hardware & Software Systems; 6. Cost Modeling; 7. Further Reading; Acknowledgements; References; Chapter 5 INSPECTION-AGE-REPLACEMENT POLICY AND SYSTEM AVAILABILITY; 1. Introduction; 2. Model and Preliminary Results; 3. Optimal Inspection Policy; 4. Estimation of Optimal Inspection Policy.

5. Possible Model ExtensionReferences; Chapter 6 BEHAVIOR OF FAILURE RATES OF MIXTURES AND SYSTEMS; 1. Introduction; 2. Failure Rate Behavior of Mixtures; 3. Failure Rate Behavior of Systems; Acknowledgements; References; Chapter 7 A GENERAL MAXIMAL PRECEDENCE TEST; 1. Introduction; 2. Review of the Precedence Test; 3. Maximal Precedence Test; 4. Exact Power under Lehmann Alternative; 5. Monte Carlo Simulation and Power Comparison under Location-Shift Alternative; 6. Possible Future Research; References; Chapter 8 TOTAL TIME ON TEST PROCESSES AND THEIR APPLICATION TO MAINTENANCE PROBLEM.

1. Introduction2. Scaled TTT Transform; 3. Scaled TTT Statistics; 4. Application to Maintenance Problem; Acknowledgements; References; PART 2 AGEING PROPERTIES; Chapter 9 NONMONOTONIC FAILURE RATES AND MEAN RESIDUAL LIFE FUNCTIONS; 1. Introduction; 2. Background and Glaser's Procedure; 3. Some Examples; 4. Some Special Cases; 5. Extension of Glaser's Result; 6. Mixture of Gamma Distributions; 7. Mean Residual Life Function and its Reciprocity with the Failure Rate; References; Chapter 10 THE FAILURE RATE AND THE MEAN RESIDUAL LIFETIME OF MIXTURES; 1. Introduction; 2. Basic Notions.

3. Models for the Failure Rate4. Models for the MRL Function; 5. Asymptotic Comparison; 6. Inverse Problem; 7. Conclusions and Outlook; References; Chapter 11 ON SOME DISCRETE NOTIONS OF AGING; 1. Introduction : Discrete Time Reliability; 2. Notions of Aging in Continuous Time; 3. Notions of Aging in Discrete Time; 4. Some Problems with the Usual Definition of Discrete Failure Rate; 5. An Alternative Definition of Discrete Failure Rate; References; Chapter 12 ON GENERALIZED ORDERINGS AND AGEING PROPERTIES WITH THEIR IMPLICATIONS; 1. Introduction; 2. Notations, Definitions and Preliminaries.

This volume is a collection of articles on reliability systems and Bayesian reliability analysis. Written by reputable researchers, the articles are self-contained and are linked with literature reviews and new research ideas. The book is dedicated to Emeritus Professor Richard E Barlow, who is well known for his pioneering research on reliability theory and Bayesian reliability analysis. Contents: System Reliability Analysis: On Regular Reliability Models (J-C Chang et al.); Bounding System Reliability (J N Hagstrom & S M Ross); Large Excesses for Finite-State Markov Chains (D Blackwell); Age.

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