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Estimation of the mean of the exponential distribution using moving extremes ranked set sampling |
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| Authors: | Mohammad?Fraiwan?Al-Saleh mailto:m-saleh@yu.edu.jo" title=" m-saleh@yu.edu.jo" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Said?Ali?Al-Hadhrami |
| Affiliation: | (1) Department of Statistics, Yarmouk University, Yarmouk, Jordan;(2) Department of Mathematics and Statistics, Sultan Qaboos University, Oman, Oman |
| Abstract: | 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). |
| Keywords: | Ranked Set Sampling Moving Extremes Ranked Set Sampling Error in Ranking Maximum Likelihood Estimator Modified Maximum Likelihood Estimator |
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