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022 _a0973-1903
100 _aBiradar, B.S.
245 0 _aESTIMATION OF THE MEAN OF THE EXPONENTIAL DISTRIBUTIONUSING EXTREME RANKED SET SAMPLING WITH UNEQUAL SAMPLES
260 _c2017
270 _aAll India Institute of Speech and Hearing, University of Mysore, Mysuru - 570 006, India.
270 _aDepartment of Studied in Statistics, University of Mysore, Mysuru - 570 006, India
270 _mbiradarbs1@gmail.com,
270 _mgetsanthoshcd@gmail.com
300 _a393-401
490 _vVolume 13 Issue 2
520 _aIn many environmental studies, the main focus is on observational economy, that is to obtain data on the basis ofcost effective and efficient sampling methods. In this paper, a ranked set sampling procedure with unequal samples based onextremes (ERSSU) is proposed, which reduces the cost and increases the precision of the estimator. Maximum likelihoodestimator and modified maximum likelihood estimators are obtained and their properties are studied when the underlyingdistribution is exponential. These methods are studied under both perfect and imperfect ranking (with errors in ranking).These estimators are then compared with estimators based on simple random sampling (SRS) and ranked set sampling (RSS)procedures. It is shown that relative efficiencies of the estimators based on ERSSU are better than those of the estimatorbased on SRS. Simulation results show that efficiency of proposed estimator is better than estimators based on SRS and RSS,when errors in ranking are present
653 _aRanked set sampling, Extreme ranked set sampling, Maximum likelihood estimator, Modified maximum likelihoodestimator, Errors in ranking, Efficiency
700 _aSantosha, C.D.
773 _aInternational Journal of Agricultural Statistical Science
942 _cFJAS
_yFJAS
999 _c17842
_d17842