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Estimation of Reliability Parameter Using Copula Function for Components with Generalized Exponential Distribution
Mohammad Nasirifar, MohammadReza Akhoond , MohammadReza Zadkarami
Abstract:   (1905 Views)

‎The parameters of reliability for the most family marginal distribution is estimated with the assumption of independence between two component stress and strength‎, ‎but‎, ‎unfortunately when these two component are correlated‎, ‎have been less discussed‎. ‎Recently‎, ‎a method based on a copula function for estimating the reliability parameter is proposed under the assumption of correlation between stress and strength components‎. ‎In this paper‎, ‎this method is used to estimate the reliability parameter when the distribution of componets is Generalized Exponential (GE)‎. ‎For this purpose FGM‎, ‎generalized FGM and frank copula function have been used‎. ‎Then simulation is also used to demonstrate the suitability of the estimates‎. ‎In the end‎, ‎reliability parameter for data relative contribution of major groups in terms of age breakdown of the population of urban and rural areas in Iran in the year 1390 will be estimated.

Keywords: ‎Reliability Parameter‎, ‎Frank Copula‎, ‎FGM Copula‎, ‎GFGM Copula.
Full-Text [PDF 7034 kb]   (308 Downloads)    
Type of Study: Research | Subject: Reliability
Received: 2015/10/27 | Accepted: 2018/10/30
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مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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