System and Bayesian Reliability: Essays in Honor of Professor Richard E Barlow on His 70th Birthday (Quality, Reliability and Engineering Statistics)

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 Pt. 1. System reliability analysis. ch. 1. System reliability analysis / J.-C. Chang, R.-J. Chen and F.K. Hwang -- ch. 2. Bounding system reliability / J.N. Hagstrom and S.M. Ross -- ch. 3. Large excesses for finite-state Markov chains / D. Blackwell -- ch. 4. Hardware-software reliability perspectives / H. Pham -- ch. 5. Inspection-age-replacement policy and system availability / J. Mi and H. Zahedi -- ch. 6. Behavior of failure rates of mixtures and systems / H.W. Block, Y. Li and T.H. Savits -- ch. 7. A general maximal precedence test / N. Balakrishnan and H.K.T. Ng -- ch. 8. Total time on test processes and their application to maintenance problem / T. Dohi, N. Kaio and S. Osaki -- pt. 2. Ageing properties. ch. 9. Nonmonotonic failure rates and mean residual life functions / R.C. Gupta -- ch. 10. The failure rate and the mean residual lifetime of mixtures / M.S. Finkelstein -- ch. 11. On some discrete notions of aging / C. Bracquemond [und weitere] -- ch. 12. On generalized orderings and ageing properties with their implications / T. Hu, A. Kundu and A.K. Nanda -- ch. 13. Dependence and multivariate ageing: The role of level sets of the survival function / B. Bassan and F. Spizzichino -- ch. 14. Dependence and ageing properties of bivariate lomax distribution / C.D. Lai, M. Xie and I.G. Bairamov -- ch. 15. Physical foundations for lifetime distributions / J.F. Shortle and M.B. Mendel -- pt. 3. Bayesian analysis. ch. 16. On the practical implementation of the Bayesian paradigm in reliability and risk analysis / T. Aven -- ch. 17. A Weibull wearout test: Full Bayesian approach / T.Z. Irony [und weitere] -- ch. 18. Bayesian nonparametric estimation of a monotone hazard rate / M.-w. Ho and A.Y. Lo -- ch. 19. Bayesian sensitivity analysis / R. Cooke and D. Lewandowski -- ch. 20. Bayesian sampling allocations to select the best normal population with different sampling costs and known variances / S.E. Chick, M. Hashimoto and K. Inoue -- ch. 21. Bayes estimates of flood quantiles using the generalised gamma distribution / J.M. van Noortwijk -- ch. 22. Bayesian operational approach for regression models in finite populations / H. Bolfarine, P. Iglesias and L. Gasco -- ch. 23. Bayesian nonparametric testing of constant versus nondecreasing hazard rates / Y. Hayakawa [und weitere] Cover 1 SERIES IN QUALITY, RELIABILITY & ENGINEERING STATISTICS 3 SYSTEM AND BAYESIAN RELIABILITY: Essays in Honor of Professor Richard E. Barlowon His 70th Birthday 4 © 5 Foreword 6 Foreword 10 Preface 14 Acknowledgements 18 Contents 20 PART 1 SYSTEM RELIABILITY ANALYSIS 29 1 ON REGULAR RELIABILITY MODELS 31 2 BOUNDING SYSTEM RELIABILITY 43 3 LARGE EXCESSES FOR FINITE-STATE MARKOV CHAINS 63 4 HARDWARE-SOFTWARE RELIABILITY PERSPECTIVES 69 5 INSPECTION-AGE-REPLACEMENT POLICY AND SYSTEM AVAILABILITY 101 6 BEHAVIOR OF FAILURE RATES OF MIXTURES AND SYSTEMS 123 7 A GENERAL MAXIMAL PRECEDENCE TEST 133 8 TOTAL TIME ON TEST PROCESSES AND THEIR APPLICATION TO MAINTENANCE PROBLEM 151 PART 2 AGEING PROPERTIES 173 9 NONMONOTONIC FAILURE RATES AND MEAN RESIDUAL LIFE FUNCTIONS 175 10 THE FAILURE RATE AND THE MEAN RESIDUAL LIFETIME OF MIXTURES 193 11 ON SOME DISCRETE NOTIONS OF AGING 213 12 ON GENERALIZED ORDERINGS AND AGEING PROPERTIES WITH THEIR IMPLICATIONS 227 13 DEPENDENCE AND MULTIVARIATE AGING: THE ROLE OF LEVEL SETS OF THE SURVIVAL FUNCTION 257 14 DEPENDENCE AND AGEING PROPERTIES OF BIVARIATE LOMAX DISTRIBUTION 271 15 PHYSICAL FOUNDATIONS FOR LIFETIME DISTRIBUTIONS 285 PART 3 BAYESIAN ANALYSIS 295 16 ON THE PRACTICAL IMPLEMENTATION OF THE BAYESIAN PARADIGM IN RELIABILITY AND RISK ANALYSIS 297 17 A WEIBULL WEAROUT TEST: FULL BAYESIAN APPROACH 315 18 BAYESIAN NONPARAMETRIC ESTIMATION OF A MONOTONE HAZARD RATE 329 19 BAYESIAN SENSITIVITY ANALYSIS 343 20 BAYESIAN SAMPLING ALLOCATIONS TO SELECT THE BEST NORMAL POPULATION WITH DIFFERENT SAMPLING COSTS AND KNOWN VARIANCES 361 21 BAYES ESTIMATES OF FLOOD QUANTILES USING THE GENERALISED GAMMA DISTRIBUTION 379 22 BAYESIAN OPERATIONAL APPROACH FOR REGRESSION MODELS IN FINITE POPULATIONS 403 23 BAYESIAN NONPARAMETRIC TESTING OF CONSTANT VERSUS NONDECREASING HAZARD RATES 419 INDEX 435 Back 438