Estimation of the Mean of the Exponential Distribution Using Maximum Ranked Set Sampling with Unequal Samples

B. S.  Biradar; C. D.  Santosha

doi:10.4236/ojs.2014.48060

B. S. Biradar¹, C. D. Santosha²

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.

Keywords: Efficiency, Error in Ranking, Maximum Likelihood Estimator, Modified Maximum Likelihood Estimator, Ranked Set Sampling

Cite this paper: Biradar, B. and Santosha, C. (2014) Estimation of the Mean of the Exponential Distribution Using Maximum Ranked Set Sampling with Unequal Samples. Open Journal of Statistics, 4, 641-649. doi: 10.4236/ojs.2014.48060.

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