Partially passed component counting for evaluating reliability [Elektronische Ressource] / Sascha Feth

TU Kaiserslautern Fachbereich MathematikDissertationPartially Passed Component Countingfor Evaluating ReliabilityDipl.-Math. Sascha FethGutachter:Prof. Dr. Jürgen Franke, Technische Universität KaiserslauternProf. Dr. Jacques de Maré, Chalmers University of TechnologyVom Fachbereich Mathematik der Universität Kaiserslauternzur Verleihung des akademischen GradesDoktor der Naturwissenschaften(Doctor rerum naturalium, Dr. rer. nat.)genehmigte DissertationDatum der Disputation: 18. Dezember 2009D386AcknowledgementMy thanks go Prof. Dr. Jürgen Franke for the possibility to write my dis-sertation at his research group as well as his support and encouragement. AtITWM I want to thank first of all Dr. Klaus Dreßler and Dr. Michael Speckertfor introducing me to the practical aspects of the topic and offering me a Phdposition at ITWM. Thanks to Prof. Dr. Jacques de Maré for his willingness ofbeeing my co-referee. Finally thanks to all colleagues at ITWM and universityfor creating a nice working environment.Dedicated Inge WeißmannContents1 Introduction, Overview and Notation 71.1 Objective: Homologation of Safety Relevant Components . . . . 71.2 Current Approach . . . . . . . . . . . . . . . . . . . . . . . . . . 81.2.1 Data Situation . . . . . . . . . . . . . . . . . . . . . . . . 81.2.2 Reliability Estimation using Quantile Estimation . . . . . 81.2.3ity Demonstration using Success Runs . . . . . . . 91.2.4 Bayesian Reliability Demonstration . . . . . . .