On improvement in estimating the population mean in simple random sampling |
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Authors: | Sat Gupta Javid Shabbir |
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Institution: | 1. Department of Mathematics and Statistics , University of North Carolina at Greensboro , Greensboro, North Carolina, USA;2. Department of Statistics , Quaid-i-Azam University , Islamabad, Pakistan |
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Abstract: | Kadilar and Cingi Ratio estimators in simple random sampling, Appl. Math. Comput. 151 (3) (2004), pp. 893–902] introduced some ratio-type estimators of finite population mean under simple random sampling. Recently, Kadilar and Cingi New ratio estimators using correlation coefficient, Interstat 4 (2006), pp. 1–11] have suggested another form of ratio-type estimators by modifying the estimator developed by Singh and Tailor Use of known correlation coefficient in estimating the finite population mean, Stat. Transit. 6 (2003), pp. 655–560]. Kadilar and Cingi Improvement in estimating the population mean in simple random sampling, Appl. Math. Lett. 19 (1) (2006), pp. 75–79] have suggested yet another class of ratio-type estimators by taking a weighted average of the two known classes of estimators referenced above. In this article, we propose an alternative form of ratio-type estimators which are better than the competing ratio, regression, and other ratio-type estimators considered here. The results are also supported by the analysis of three real data sets that were considered by Kadilar and Cingi. |
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Keywords: | ratio-type estimators mean square error (MSE) transformation efficiency |
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