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Estimation of the Mean of the Exponential Distribution Using Maximum Ranked Set Sampling with Unequal Samples
Department of Studies in Statistics, University of Mysore, Mysore, India
All India Institute of Speech and Hearing, Mysore, India
- 1 Department of Studies in Statistics, University of Mysore, Mysore, India
- 2 All India Institute of Speech and Hearing, Mysore, India
Open Journal of Statistics·Volume 04 (2014)·Pages 641–649·Published 16 September 2014·DOI10.4236/ojs.2014.48060
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Abstract
In this paper maximum ranked set sampling procedure with unequal samples (MRSSU) is proposed. Maximum likelihood estimator and modified maximum likelihood estimator are obtained and their properties are studied under exponential distribution. 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 MRSSU are better than those of the estimator based on SRS. Simulation results show that efficiency of proposed estimator is better than estimator based on RSS under ranking error.
KeywordsEfficiencyError in RankingMaximum Likelihood EstimatorModified Maximum Likelihood EstimatorRanked Set Sampling
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