Maximum likelihood estimators of the parameters of the log-logistic distribution

被引：30

作者：

He, Xiaofang ^{[1
]}

Chen, Wangxue ^{[1
]}

Qian, Wenshu ^{[1
]}

机构：

[1] Jishou Univ, Dept Math & Stat, Jishou 416000, Peoples R China

来源：

STATISTICAL PAPERS | 2020年 / 61卷 / 05期

关键词：

Ranked set sample; Maximum likelihood estimator; Fisher information number; SCALE-PARAMETERS; LOCATION; SHAPE;

D O I：

10.1007/s00362-018-1011-3

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this article, maximum likelihood estimator(s) (MLE(s)) of the scale and shape parameters alpha and beta from log-logistic distribution will be respectively considered in cases when one parameter is known and when both are unknown under simple random sampling (SRS) and ranked set sampling (RSS). In addition, the MLE of one parameter, when another parameter is known using a RSS version based on the order statistic that maximizes the Fisher information for a fixed set size, will be considered. These MLEs will be compared in terms of asymptotic efficiencies. These MLEs based on RSS can be real competitors against those based on SRS. All efficiencies of these MLEs are simulated under imperfect ranking.

引用

页码：1875 / 1892

页数：18

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