The Theory and Applications of Reliability With Emphasis on Bayesian and Nonparametric Methods

1st Edition - January 28, 1977
Editor: Chris Tsokos
Language: English
eBook ISBN:
9 7 8 - 0 - 3 2 3 - 1 4 5 8 5 - 5

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… Read more

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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.

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