E-Book Overview
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.
E-Book Information
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Series: Statistics for Industry and Technology
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Year: 1,998
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Edition: 1
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Pages: 382
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Pages In File: 389
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Language: English
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Topic: 220
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Identifier: 978-1-4612-7466-7,978-1-4612-2234-7
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Doi: 10.1007/978-1-4612-2234-7
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Cleaned: 1
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Orientation: 1
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Paginated: 1
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Org File Size: 35,297,377
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Extension: pdf
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Tags: Mathematics, general
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Toc: Front Matter....Pages i-xxviiFront Matter....Pages 1-1The Generalized Discrete Linnik Distributions....Pages 3-18Acceptance Regions and Their Application in Lifetime Estimation....Pages 19-35On Statistics in Failure-Repair Models Under Censoring....Pages 37-52Parameter Estimation in Renewal Processes with Imperfect Repair....Pages 53-65Investigation of Convergence Rates in Risk Theory in the Presence of Heavy Tails....Pages 67-80Least Squares and Minimum Distance Estimation in the Three-Parameter Weibull and Fréchet Models with Applications to River Drain Data....Pages 81-97Front Matter....Pages 99-99Maximum Likelihood Estimation With Different Sequential k -out-of- n Systems....Pages 101-111Stochastic Models for the Return of Used Devices....Pages 113-123Some Remarks on Dependent Censoring in Complex Systems....Pages 125-138Parameter Estimation in Damage Processes: Dependent Observation of Damage Increments and First Passage Time....Pages 139-152Boundary Crossing Probabilities of Poisson Counting Processes with General Boundaries....Pages 153-166Optimal Sequential Estimation for Markov-Additive Processes....Pages 167-181Some Models Describing Damage Processes and Resulting First Passage Times....Pages 183-195Absorption Probabilities of a Brownian Motion i