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Cited by 177 publications
(123 citation statements)
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“…The empirical results presented in Tables 2, 3, 4 and 5 show that the MSE of the proposed estimator is consistently less than those of classical ratio estimator, Singh and Tailor (2003) and Kadilar and Cingi (2004) estimators in population for all four populations under consideration, showing that the estimator,ȳ pr is more efficient than all the other estimators under consideration. This is due to the fact that the proposed estimator is equally as efficient as the regression estimator and confirms Cochran (1942), Robson (1957), Murthy (1967) and Perri (2005) assertion that the regression estimator is generally more efficient than ratio and product estimators Analyses of biases have also shown the proposed estimator to have the smallest bias compared to all the existing estimators for all populations considered.…”
Section: Discussionmentioning
confidence: 86%
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“…The empirical results presented in Tables 2, 3, 4 and 5 show that the MSE of the proposed estimator is consistently less than those of classical ratio estimator, Singh and Tailor (2003) and Kadilar and Cingi (2004) estimators in population for all four populations under consideration, showing that the estimator,ȳ pr is more efficient than all the other estimators under consideration. This is due to the fact that the proposed estimator is equally as efficient as the regression estimator and confirms Cochran (1942), Robson (1957), Murthy (1967) and Perri (2005) assertion that the regression estimator is generally more efficient than ratio and product estimators Analyses of biases have also shown the proposed estimator to have the smallest bias compared to all the existing estimators for all populations considered.…”
Section: Discussionmentioning
confidence: 86%
“…The analytical comparison of the proposed estimator with the three existing ones in Equations (8), (9) and (11) show that the proposed estimator will always be more efficient than the classical and Kadilar and Cingi (2004) estimators and be preferred to Singh and Tailor (2003) estimator when the condition stated in Equation (10) is satisfied.…”
Section: Discussionmentioning
confidence: 92%
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“…However, the ratio estimators mentioned by Kadilar & Cingi (2004) and the traditional ratio estimator are biased, so their precision is measured by mean square error (MSE). In the following section, the estimators and their variances(or MSEs) under the AP design, CP design, 2Pπps design and SRSWOR are studied using three data sets earlier used in the literature.…”
Section: Examplesmentioning
confidence: 99%