Hartley-Ross Type Estimators for Population Mean Using Known Parameters of Auxiliary Variate |
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Authors: | Housila P Singh Rajesh Tailor |
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Institution: | School of Studies in Statistics , Vikram University , Ujjain , India |
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Abstract: | This article proposes Hartley-Ross type unbiased estimators of finite population mean using information on known parameters of auxiliary variate when the study variate and auxiliary variate are positively correlated. The variances of the proposed unbiased estimators are obtained. It has been shown that the proposed estimators are more efficient than the simple mean estimator, usual ratio estimator and estimators proposed by Sisodia and Dwivedi (1981
Sisodia , B. V. S. ,
Dwivedi , V. K. ( 1981 ). A modified ratio estimator using coefficient of variation of auxiliary variable . J. Indian Soc. Agricultural Statist. 33 ( 1 ): 13 – 18 . Google Scholar]), Kadilar and Cingi (2006
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Cingi , H. ( 2006 ). A new ratio estimator using correlation coefficient . Int. Statist. 1 – 11 . Google Scholar]), and Kadilar et al. (2007
Kadilar , C. ,
Candan , M. ,
Cingi , H. ( 2007 ). Ratio estimators using robust regression . Hacet. J. Math. Statist. 36 ( 2 ): 181 – 188 .Web of Science ®] , Google Scholar]) under certain realistic conditions. Empirical studies are also carried out to demonstrate the merits of the proposed unbiased estimators over other estimators considered in this article. |
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Keywords: | Bias Coefficient of kurtosis Coefficient of variation Finite population mean Mean squared error and variance |
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