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Estimation of Location and Shape Parameters for the Gompertz Distribution Using Generalized Order Statistics
Shahram Yaghoobzadeh Shahrastani
Abstract:   (316 Views)

In this paper, based on generalized order statistics the Bayesian and maximum liklihood estimations of the parameters, the reliability and the hazard functions of Gompertz distribution are investigated. Specializations to Bayesian and maximum liklihood estimators, some lifetime parameters of progressive II censoring and record values are obtained. Also by using two real data sets and simulated data accurations of different estimates of the parameters are compared. Next the Bayesian and maximum liklihood estimates of the Gompertz distribution are compared with Weibull and Lomax distrtibutions.

Keywords: Generalized order statistics, Bayesian estimator, Gompertz distribution, Record values, Progressive II censoring
Full-Text [PDF 6837 kb]   (89 Downloads)    
Type of Study: Research | Subject: Statistical Inference
Received: 2015/02/7 | Accepted: 2018/04/15 | Published: 2018/04/15
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Yaghoobzadeh Shahrastani S. Estimation of Location and Shape Parameters for the Gompertz Distribution Using Generalized Order Statistics. J. of Stat. Sci.. 2018; 12 (1)
URL: http://jss.irstat.ir/article-1-359-en.html


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مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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