Synopses & Reviews
This book provides an up-to-date survey of new statistical and probabilistic models and methods for reliability analysis and applications in science, engineering, and technology. Written in an accessible style, the chapters give a broad coverage of the latest developments and innovative techniques in a wide range of theoretical and numerical issues in the field. In addition the book covers new applications such as reliability and lifetime data analysis, maintenance, accelerated experiments, and software reliability and also proposes open problems for new research.
Synopsis
1 Reliability: Past, Present, Future.- 2 Reliability Analysis as a Tool for Expressing and Communicating Uncertainty.- 3 Modeling a Process of Non-Ideal Repair.- 4 Some Models and Mathematical Results for Reliability of Systems of Components.- 5 Algorithms of Stochastic Activity and Problems of Reliability.- 6 Some Shifted Stochastic Orders.- 7 Characterization of Distributions in Reliability.- 8 Asymptotic Analysis of Reliability for Switching Systems in Light and Heavy Traffic Conditions.- 9 Nonlinearly Perturbed Markov Chains and Large Deviations for Lifetime Functionals.- 10 Evolutionary Systems in an Asymptotic Split Phase Space.- 11 An Asymptotic Approach to Multistate Systems Reliability Evaluation.- 12 Computer Intensive Methods Based on Resampling in Analysis of Reliability and Survival Data.- 13 Statistical Analysis of Damage Processes.- 14 Data Analysis Based on Warranty Database.- 15 Failure Models Indexed by Time and Usage.- 16 A New Multiple Proof Loads Approach For Estimating Correlations.- 17 Conditional and Partial Correlation For Graphical Uncertainty Models.- 18 Semiparametric Methods of Time Scale Selection.- 19 Censored and Truncated Lifetime Data.- 20 Tests for a Family of Survival Models Based on Extremes.- 21 Software Reliability Models - Past, Present and Future.- 22 Dynamic Analysis of Failures in Repairable Systems and Software.- 23 Precedence Test and Maximal Precedence Test.- 24 Hierarchical Bayesian Inference in Related Reliability Experiments.- 25 Tests for Equality of Intensities of Failures of a Repairable System Under Two Competing Risks.- 26 Semiparametric Estimation in Accelerated Life Testing.- 27 A Theoretical Framework for Accelerated Testing.- 28 Unbiased Estimation in Reliability and Similar Problems.- 29 Prediction Under Association.- 30 Uniform Limit Laws for Kernel Density Estimators on Possibly Unbounded Intervals.- 31 A Weak Convergence Result Relevant in Recurrent and Renewal Models.