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

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DOI: 10.4236/ojs.2014.48060    2,575 Downloads   3,297 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

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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