Estimation of the mean of the exponential distribution using maximum ranked set sampling with unequal samples

Biradar, B. S. and Santhosha, C. D. (2014) Estimation of the mean of the exponential distribution using maximum ranked set sampling with unequal samples. Open Journal of Statistics, 4 (8). pp. 641-649.

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Official URL: http://doi.org/10.4236/ojs.2014.48060

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.

Item Type: Article
Uncontrolled Keywords: Efficiency and Error in Ranking and Maximum Likelihood Estimator and Modified Maximum Likelihood Estimator and Ranked Set Sampling
Subjects: E Mathematical Science > Statistics
Divisions: Department of > Statistics
Depositing User: Users 19 not found.
Date Deposited: 09 Oct 2019 05:50
Last Modified: 09 Oct 2019 05:50
URI: http://eprints.uni-mysore.ac.in/id/eprint/8779

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