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Estimating Parameters of Field Lifetime Data Distribution Using the Failure Reporting Probability  

Kim, Young Bok (Department of Industrial Engineering, Seoul National University)
Lie, Chang Hoon (Department of Industrial Engineering, Seoul National University)
Publication Information
Journal of Korean Institute of Industrial Engineers / v.33, no.1, 2007 , pp. 52-60 More about this Journal
Abstract
Estimating parameters of the lifetime distribution is investigated when field failure data are not completelyreported. To take into account the reality and the accuracy of the estimates in such a case, the failure reportingprobability is incorporated in estimating parameters, Firstly, method of maximum likelihood estimate (MLE) isused to estimate parameters of the lifetime distribution when failure reporting probability is known, Secondly,Expectation and Maximization (EM) algorithm is used to estimate the failure reporting probability and parame-ters of the lifetime distribution simultaneously when failure reporting probability is unknown. For both cases,procedures of estimation are illustrated for single Weibull distribution and mixed Weibull distribution. Simula-tion results show that MLE obtained by the proposed method is more accurate than the conventional MLE.
Keywords
Field Failure Data; Failure Reporting Probability; MLE; EM Algorithm; Mixed Weibull Distribution;
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Times Cited By KSCI : 1  (Citation Analysis)
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