文章基本信息

标题：Parameter estimation for the log-logistic distribution based on order statistics
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作者：Mohammad Ahsanullah ; Ayman Alzaatreh.
期刊名称：RevStat : Statistical Journal
印刷版ISSN：1645-6726
出版年度：2018
卷号：16
期号：4
页码：429-443
出版社：Instituto Nacional de Estatística
摘要：In this paper, we discuss the moments and product moments of the order statistics in a sample of size n drawn from the log-logistic distribution. We provide more compact forms for the mean, variance and covariance of order statistics. Parameter estimation for the log-logistic distribution based on order statistics is studied. In particular, best linear unbiased estimators (BLUEs) for the location and scale parameters for the log-logistic distribution with known shape parameter are studied. Hill estimator is proposed for estimating the shape parameter.
关键词：log-logistic distribution; moments; order statistics; best linear unbiased estimators;; recurrence relations; Hill estimator.