CUM DUAL PRODUCT ESTIMATOR FOR THE POPULATION MEAN USING RANKED SET SAMPLING

Ilugbo Stephen Olubusola (), Raji Idowu, Owojori Adefope Adeyanju and Afolabi Habeeb Abiodun
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Ilugbo Stephen Olubusola: Department of Physics, Lead City University Ibadan
Raji Idowu: Department of Statistics, Federal University of Technology, Akure, Nigeria
Owojori Adefope Adeyanju: Department of Physics, Lead City University Ibadan
Afolabi Habeeb Abiodun: Department of Statistics, Osun State University, Osogbo, Nigeria

Matrix Science Mathematic (MSMK), 2022, vol. 6, issue 1, 26-29

Abstract: It has been shown that Ranked Set Sampling (RSS) is highly beneficial to the estimation based on Simple Random Sampling (SRS). There has been considerable development and many modifications were done to this method. The problem of estimating the population means is an integral aspect of a scientific survey. The estimators were examined for cum-dual products under Ranked Set Sampling (RSS), while the first-order approximation to the bias and Mean Square Error (MSE) of the proposed estimators were obtained. The numerical illustration of the comparisons was carried out to support the claim that the proposed estimators are more efficient than some existing estimators. Data were simulated for study variable y and auxiliary variable x using R software for the analysis to support the claim. The result shows that MSE of the proposed estimators, y Ì…_(pd,RSS)^* is smaller than the MSE of the existing estimators y Ì…_pd^*,y Ì…_Rd^*, y Ì…_(R,RSS)^*,y Ì…_(RSS,MM1)^* and y Ì…_(RSS,MM2)^* and y Ì…_(RSS,MM3)^* at Ï = −0.1,−0.2,0.1,0.2, hence, the proposed estimator performed better than the existing estimators. While the MSE of the proposed estimator yy Ì…_(pd,RSS)^* is greater than the MSE of the existing estimators y Ì…_pd^* and y Ì…_Rd^* at Ï = -0.3 and 0.3. However, the proposed estimator y Ì…_(pd,RSS)^* does not perform better than the estimators, y Ì…_pd^*,and y Ì…_Rd^* at Ï = -0.3 and 0.3. It was concluded that the proposed estimator was more efficient than a class of regression estimators and four existing ratio-type estimators based on RSS.

Keywords: Ranked Set Sampling; Ratio Estimator; Product Estimator; Auxiliary Variable; Coefficient of Variation. (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbmsmk:v:6:y:2022:i:1:p:26-29

DOI: 10.26480/msmk.01.2022.26.29

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