文章基本信息

标题：Estimation Based on Generalized Order Statistics from a Mixture of Two Rayleigh Distributions
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作者：Tahani Abushal ; Areej M. AL-Zaydi
期刊名称：International Journal of Statistics and Probability
印刷版ISSN：1927-7032
电子版ISSN：1927-7040
出版年度：2012
卷号：1
期号：2
页码：79
DOI：10.5539/ijsp.v1n2p79
出版社：Canadian Center of Science and Education
摘要：This article is concerned with the problem of estimating the parameters, reliability and hazard rate functions of the mixture of two Rayleigh distributions ($MTRD$) based on generalized order statistics ($GOS$). The maximum likelihood and Bayes methods of estimation are used for this purpose. The Markov chain Monte Carlo ($MCMC$) method is used for obtaining the Bayes estimates under the squared error loss and $LINEX$ loss functions. Our results are specialized to progressive Type-II censored order statistics and upper record values. Comparisons are made between Bayesian and maximum likelihood estimators via a Monte Carlo simulation study.