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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.
Language
Place of publication
Publishing group
Elsevier Science & Techn.
ISBN-13
978-0-323-14585-5 (9780323145855)
Schweitzer Classification
¿List of Contributors Preface Acknowledgments Contents of Volume II The Air Force Research Program-A New Look The Bayesian and Nonparametric Approach to Reliability Studies: A Survey of Recent Work Bayesian Life Testing Using the Total Q on Test A Bayesian Approach for Testing Increasing Failure Rate Nonparametric Estimation of Distribution Functions A Class of Distributions Useful In Life Testing and Reliability with Applications to Nonparametric Testing A Generalized Wilcoxon Mann-Whitney Statistic with Some Applications in Reliability The Asymptotic Theory of Extreme Order Statistics Estimating and Forecasting Failure-Rate Processes by Means of the Kalman Filter Shock and Wear Models and Markov Additive Processes The Maintenance of Systems Governed by Semi-Markov Shock Models Bounds for the Distributions and Hazard Gradients of Multivariate Random Minimums The Role of the Poisson Distribution in Approximating System Reliability of k-Out-of-n Structures Converting Dependent Models into Independent Ones, with Applications in Reliability Structural Inference on Reliability in a Lognormal Model Uniformly Most Powerful Unbiased Tests for the Parameters of the Gamma Distribution Unbalanced Random-Effect Model with Unequal Group Variances: Estimation of Design Parameters Allowing for Screened Batches Some Stochastic Characterizations of Multivariate Survival A Family of Bivariate Life Distributions Techniques for Analyzing Multivariate Failure Data Optimal Replacement Policies for Devices Subject to a Gamma Wear Process Some Limit Theorems in Standby Redundancy with Renewals Some Aspects of the Use of the Mann-Fertig Statistic to Obtain Confidence Interval Estimates for the Threshold Parameter of the Weibull Opportunistic Replacement Policies On Selecting Which of k Populations Exceed a Standard On Generalized Multivariate Gamma Type Distributions and their Applications in Reliability On Some Optimal Sampling Procedures for Selection Problems Classification Rules for Exponential Populations: Two Parameter Case A Bivariate Exponential Model with Applications to Reliability and Computer Generation of Random Variables