The Theory and applications of reliability with emphasis on Bayesian and nonparametric methods, vol. I : papers presented at the conference on the theory and applications of reliability ..., held at the University of South Florida, Tampa, Florida, Decembe

The Theory and Applications of Reliability: With Emphasis on Bayesian and Nonparametric Methods, Volume I covers the proceedings of the conference on''The Theory and Applications of Reliability with Emphasis on Bayesian and Nonparametric Methods.''The conference is organized so as to have technical presentations, a clinical session, and round table discussions. This volume is a 29-chapter text that specifically deals with the theoretical aspects of reliability estimation. Considerable chapters on the technical sessions are devoted to initial findings on the theory and applications of reliability estimation, with special emphasis on Bayesian and nonparametric methods. A Bayesian analysis implies the use of suitable prior information in association with Bayes theorem while the nonparametric approach analyzes the reliability components and systems under the assumption of a time-to-failure distribution with a wide defining property rather than a specific parametric class of probability distributions. The clinical session chapters discuss the actual problems encountered in reliability estimation. The remaining chapters deal with the status of the subject areas and the empirical Bayes developments. These chapters also present various probabilistic and statistic methods for reliability estimation. Theoreticians and reliability engineers will find this book invaluable. Content: Front Matter , Page iii Copyright , Page iv List of Contributors , Pages vii-viii Preface , Pages ix-xi Acknowledgments , Pages xiii-xiv , Chris P. Tsokos, I.N. Shimi Contents of Volume II , Pages xv-xvi THE AIR FORCE RESEARCH PROGRAM – A NEW LOOK , Pages 1-4 , COLONEL RONALD A. BENA THE BAYESIAN AND NONPARAMETRIC APPROACH TO RELIABILITY STUDIES: A SURVEY OF RECENT WORK , Pages 5-47 , I. Shimi, C.P. Tsokos BAYESIAN LIFE TESTING USING THE TOTAL Q ON TEST , Pages 49-66 , WILLIAM S. JEWELL A BAYESIAN APPROACH FOR TESTING INCREASING FAILURE RATE , Pages 67-83 , ROBERT H. LOCHNER, A.P. BASU NONPARAMETRIC ESTIMATION OF DISTRIBUTION FUNCTIONS , Pages 85-107 , MYLES HOLLANDER, RAMESH M. KORWAR A CLASS OF DISTRIBUTIONS USEFUL IN LIFE TESTING AND RELIABILITY WITH APPLICATIONS TO NONPARAMETRIC TESTING , Pages 109-129 , Z. GOVINDARAJULU A GENERALIZED WILCOXON MANN-WHITNEY STATISTIC WITH SOME APPLICATIONS IN RELIABILITY , Pages 131-149 , A.P. BASU THE ASYMPTOTIC THEORY OF EXTREME ORDER STATISTICS , Pages 151-164 , JANOS GALAMBOS ESTIMATING AND FORECASTING FAILURE-RATE PROCESSES BY MEANS OF THE KALMAN FILTER , Pages 165-192 , H.F. MARTZ JR., K. CAMPBELL, H.T. DAVIS SHOCK AND WEAR MODELS AND MARKOV ADDITIVE PROCESSES , Pages 193-214 , ERHAN CINLAR THE MAINTENANCE OF SYSTEMS GOVERNED BY SEMI-MARKOV SHOCK MODELS , Pages 215-226 , RICHARD M. FELDMAN BOUNDS FOR THE DISTRIBUTIONS AND HAZARD GRADIENTS OF MULTIVARIATE RANDOM MINIMUMS , Pages 227-242 , MOSHE SHAKED THE ROLE OF THE POISSON DISTRIBUTION IN APPROXIMATING SYSTEM RELIABILITY OF k-OUT-OF-n STRUCTURES , Pages 243-258 , R.J. SERFLING CONVERTING DEPENDENT MODELS INTO INDEPENDENT ONES, WITH APPLICATIONS IN RELIABILITY , Pages 259-276 , N. LANGBERG, F. PROSCHAN, A.J. QUINZI STRUCTURAL INFERENCE ON RELIABILITY IN A LOGNORMAL MODEL , Pages 277-306 , DANNY DYER UNIFORMLY MOST POWERFUL UNBIASED TESTS FOR THE PARAMETERS OF THE GAMMA DISTRIBUTION , Pages 307-314 , MAX ENGELHARDT, LEE J. BAIN UNBALANCED RANDOM-EFFECT MODEL WITH UNEQUAL GROUP VARIANCES: ESTIMATION OF DESIGN PARAMETERS ALLOWING FOR SCREENED BATCHES , Pages 315-328 , K.W. FERTIG, N.R. MANN SOME STOCHASTIC CHARACTERIZATIONS OF MULTIVARIATE SURVIVAL , Pages 329-348 , WILLIAM B. BUCHANAN, NOZER D. SINGPURWALLA A FAMILY OF BIVARIATE LIFE DISTRIBUTIONS , Pages 349-371 , HENRY W. BLOCK TECHNIQUES FOR ANALYZING MULTIVARIATE FAILURE DATA , Pages 373-396 , RICHARD E. BARLOW, FRANK PROSCHAN OPTIMAL REPLACEMENT POLICIES FOR DEVICES SUBJECT TO A GAMMA WEAR PROCESS , Pages 397-412 , MOHAMED ABDEL-HAMEED SOME LIMIT THEOREMS IN STANDBY REDUNDANCY WITH RENEWALS , Pages 413-421 , Z. KHALIL SOME ASPECTS OF THE USE OF THE MANN-FERTIG STATISTIC TO OBTAIN CONFIDENCE INTERVAL ESTIMATES FOR THE THRESHOLD PARAMETER OF THE WEIBULL , Pages 423-432 , PAUL N. SOMERVILLE OPPORTUNISTIC REPLACEMENT POLICIES , Pages 433-447 , DAVINDER P.S. SETHI ON SELECTING WHICH OF k POPULATIONS EXCEED A STANDARD , Pages 449-473 , RAY E. SCHAFER ON GENERALIZED MULTIVARIATE GAMMA TYPE DISTRIBUTIONS AND THEIR APPLICATIONS IN RELIABILITY , Pages 475-494 , P.R. KRISHNAIAH ON SOME OPTIMAL SAMPLING PROCEDURES FOR SELECTION PROBLEMS , Pages 495-505 , SHANTI S. GUPTA, DENG-YUAN HUANG CLASSIFICATION RULES FOR EXPONENTIAL POPULATIONS: TWO PARAMETER CASE , Pages 507-525 , A.P. BASU, A.K. GUPTA A BIVARIATE EXPONENTIAL MODEL WITH APPLICATIONS TO RELIABILITY AND COMPUTER GENERATION OF RANDOM VARIABLES , Pages 527-549 , D.S. FRIDAY, G.P. PATIL