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Weibull Mixture Model for Reliability Analysis

H. Benaicha(1*), A. Chaker(2)

(1) Laboratory SCAMRE -ENSET, Oran, Algeria
(2) Laboratory SCAMRE -ENSET, Oran, Algeria
(*) Corresponding author



In reliability analysis, electrical systems can have more than one failure mode .For example, systems may have been used in different operating environments or there could be differences in design and /or material. In these cases, failure time data of systems would not fall on a straight line on a Weibull probability paper. Consequently, the finite mixed Weibull can be used to analyze this data .In this paper, we propose a maximum likelihood algorithm for mixture of two Weibull distributions. The mixture distribution and the traditional Weibull distribution are applied to historical failure time data of power transformers of National Society for Electricity and Gas (SONELGAZ) in Western Algeria. A comparison of the reliability analysis through respective probability distributions is presented in this study. Finally, Akaike information criterion (AIC) is used to select a best distribution for modeling this data.
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Weibull Model; Mixture Weibull Distribution; Parameters Estimation; Maximum Likelihood Algorithm; Reliability Analysis; AIC

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