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Bayes Inference Problems in Failure-Repair Processes

Franz Jürgen and Abdel-Aty Yahia
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Franz Jürgen: Institut für Mathematische Stochastik, Technische Universität Dresden, D-01062 Dresden, Germany. franz@math.tu-dresden.de
Abdel-Aty Yahia: Institut für Mathematische Stochastik, Technische Universität Dresden, D-01062 Dresden, Germany. yahia1970@yahoo.com

Stochastics and Quality Control, 2003, vol. 18, issue 2, 209-222

Abstract: This paper deals with the modelling of failure-repair processes, particularly with parameter estimation problems and Bayesian predictions of future jump time points. Bayesian estimation methods are applied to determine the values of process parameters and based on results on failure time distributions, predictions are derived for nonhomogeneous Poisson processes.

Keywords: Marked point processes; counting processes and nonhomogeneous Poisson processes; Koziol-Green model for censoring; Bayes parameter estimation; Bayes prediction intervals (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1515/EQC.2003.209

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