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A class of repairable system storage reliability of MML to infer

Author: DongMeiHua
Tutor: JinLan
School: Yanbian University
Course: Basic mathematics
Keywords: MML method Fiducial distribution storage period Lower confidence limit system availability
CLC: O213.2
Type: Master's thesis
Year: 2009
Downloads: 42
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Abstract


From the viewpoint of statistical computation, MML method of storage reliability inference for a kind of systems composed of two type repairable equipments model is proposed. We convert non-binomial type equipment information into binomial type by Beta distribution approximation and then give MML method and specific steps for the evaluation of system availability and storage period. We deal with the interval data of equipments by quantile-filling algorithm. Monte Calo results are given at the end,and it shows that MML method’s system availability cover-ratio are smaller than the degree of confidence in almost cases, the differences are less than 5% in Weibull type equipment systems. MML method’s inference results are a little better than Fiducial method’s in Weibull equipment systems, the MML method’s quantiles are less differences than that of Fiducial method’s and less than per milles in almost cases. It means that a more accurate inference can be drawn by the method proposed in this paper for the Weibull type equipment systems.

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CLC: > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Application of statistical mathematics > Reliability theory
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