(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).