Estimation of the mean of the exponential distribution using moving extremes ranked set sampling

被引:49
作者
Al-Saleh, MF [1 ]
Al-Hadhrami, SA
机构
[1] Yarmouk Univ, Dept Stat, Yarmouk, Jordan
[2] Sultan Qaboos Univ, Dept Math & Stat, Oman, Oman
关键词
ranked set sampling; moving extremes ranked set sampling; error in ranking; maximum likelihood estimator; modified maximum likelihood estimator;
D O I
10.1007/s00362-003-0161-z
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
Moving Extremes Ranked Set Sampling (MERSS) is a useful modification of Ranked Set Sampling (RSS). Unlike RSS, MERSS allows for an increase of set size without introducing too much ranking error. The method is considered parametrically under exponential distribution. Maximum likelihood estimator (MLE), and a modified MLE are considered and their properties are studied. The method is studied under both perfect and imperfect ranking (with error in ranking). It appears that these.,estimators can be real competitors to the MLE using the usual simple random sampling (SRS).
引用
收藏
页码:367 / 382
页数:16
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