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Fast technological development produces systems of ever-increasing complex ity. The demand for reliable functioning of these systems has become more and more important. Thus, there is a need for highly reliable technical devices and systems, for monitoring and controlling their functioning and for planning maintenance and corrective actions to fulfill given requirements considering eco nomic limitations. These tasks reflect the wide field of engineering activities that are accompa nied by and based on a wide range of stochastical models. The book presents the main contributions to a workshop on Stochastic Models of Reliability, Qual ity, and Safety held in Schierke near Magdeburg, Germany. This workshop was part of a series of meetings that take place every two years organized by the Society of Reliability, Quality and Safety. The basic idea of these workshops is to bring together theorists, applied statisticians, and practitioners to exchange experiences and ideas of common interest. The book contains recent results in reliability and related fields. The presentation aims at making at least a part of the results accessible to engineers.
Inhaltsverzeichnis
I: Lifetime Analysis.- 1. The Generalized Linnik Distributions.- 2. Acceptance Regions and Their Application in Lifetime Estimation.- 3. On Statistics in Failure-Repair Models Under Censoring.- 4. Parameter Estimation in Renewal Processes with Imperfect Repair.- 5. Investigation of Convergence Rates in Risk Theory in the Presence of Heavy Tails.- 6. Least Squares and Minimum Distance Estimation in the Three-Parameter Weibull and Fréchet Models with Applications to River Drain Data.- II: Reliability Analysis.- 7. Maximum Likelihood Estimation With Different Sequential k-out-of-n Systems.- 8. Stochastic Models for the Return of Used Devices.- 9. Some Remarks on Dependent Censoring in Complex Systems.- 10. Parameter Estimation in Damage Processes: Dependent Observations of Damage Increments and First Passage Time.- 11. Boundary Crossing Probabilities of Poisson Counting Processes with General Boundaries.- 12. Optimal Sequential Estimation for Markov-Additive Processes.- 13. Some Models Describing Damage Processes and Resulting First Passage Times.- 14. Absorption Probabilities of a Brownian Motion in a Triangular Domain.- III: Network Analysis.- 15. A Simple Algorithm for Calculating Approximately the Reliability of Almost Arbitrary Large Networks.- 16. Reliability Analysis of Flow Networks.- 17. Generalized Gram-Charlier Series A and C Approximation for Nonlinear Mechanical Systems.- 18. A Unified Approach to the Reliability of Recurrent Structures.- IV: Process Control.- 19. Testing for the Existence of a Change-Point in a Specified Time Interval.- 20. On the Integration of Statistical Process Control and Engineering Process Control in Discrete Manufacturing Processes.- 21. Controlling a Process with Three Different States.- 22. CUSUM Schemes and Erlang Distributions.-23. On the Average Delay of Control Schemes.- 24. Tolerance Bounds and Cpk Confidence Bounds Under Batch Effects.
