Confidence interval estimation of the location and scale parameters of the logistic distribution using pivotal method

被引：2

作者：

Muttlak, H. A. ^{[1
]}

Abu-Dayyeh, W. A. ^{[2
]}

Al-Sawi, E. ^{[1
]}

Al-Momani, M. ^{[3
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] Sultan Qaboos Univ, Dept Math & Stat, Muscat, Oman

[3] Univ Windsor, Dept Math & Stat, Windsor, ON N9B 3P4, Canada

来源：

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION | 2011年 / 81卷 / 04期

关键词：

efficiency; expected length; maximum likelihood estimator; pivotal method; ranked set sampling; simple random sampling; ORDER-STATISTICS;

D O I：

10.1080/00949650903379572

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Different confidence intervals (CI) will be constructed for the location and scale parameters of the logistic distribution by assuming that one of them is known. The maximum likelihood estimator and several different pivots will be used to construct different CI for the logistic parameters, using simple random sampling (SRS) and ranked set sampling (RSS). They will be compared via their expected lengths and the standard errors of their lengths using computer simulation. The CIs based on the RSS are found to be more efficient, i.e. having shorter expected lengths and smaller standard errors than their competitors based on the SRS.

引用

页码：391 / 409

页数：19

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