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022 _a2162-8475
100 _aBiradar, B.A
245 0 _aEstimation of the Population Mean Based on Extremes Ranked Set Sampling
260 _bScientific & Academic Publishing Co
_c2015
270 _aAll India Institute of Speech and Hearing, Mysore, India
270 _aDepartment of Studies in Statistics, University of Mysore, Mysore, India
270 _mbiradarbs@statistics.uni-mysore.ac.in
300 _a32-36
490 _vVolume 5 Issue 1
520 _aThis paper is concerned with ranked set sampling theory which is useful to estimate the population mean when the order of a sample of small size can be found without measurements or with other methods. In practice ranking a sample of moderate size and observing the i-th ranked unit (ranking of middle ordered units) is a difficult task. Therefore, in this paper we propose two estimators of the population mean based on extremes ranked set sampling methods. The proposed estimators are unbiased for the population mean when the underlying distribution is symmetric. It is shown that the proposed estimators are more efficient than their counter part simple random sampling method for distributions considered in this study.
653 _aRanked set sampling, Extremes ranked set sampling, Population mean, Relative efficiency, Errors in Ranking
700 _aSantosha, C. D
773 _aAmerican Journal of Mathematics and Statistics
856 _uhttps://dox.org/10.5923/j.ajms.20150501.05
942 _cFJAS
_yFJAS
999 _c17625
_d17625