文章基本信息

标题：Estimation of using Modifications of Ranked Set Sampling for Weibull Distribution
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作者：Fatma Gul Akgul ; Birdal Senoglu
期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2017
卷号：13
期号：4
页码：931-958
DOI：10.18187/pjsor.v13i4.2056
语种：English
出版社：College of Statistical and Actuarial Sciences
其他摘要：In statistical literature, estimation of R=P(X<Y) is a commonly-investigated problem, and consequently, there have been considerable number of studies dealing with its estimation of it under simple random sampling (SRS). However, in recent years, the ranked set sampling (RSS) method have been widely-used in the estimation of R. In this study, we consider the estimation of R when the distribution of the both stress and strength are Weibull under the modification of RSS, which are extreme ranked set sampling (ERSS), median ranked set sampling (MRSS) and percentile ranked set sampling (PRSS). We obtain the estimators of R using the maximum likelihood (ML) and the modified maximum likelihood (MML) methodologies under these modifications. Then the performances of proposed estimators are compared with the corresponding ML and MML estimators of R using SRS via a Monte-Carlo simulation study.
关键词：Stress-strength model; extreme ranked set sampling; median ranked set sampling; percentile ranked set sampling; efficiency.