On Improvement in Variance Estimation Using Auxiliary Information |
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Authors: | Javid Shabbir |
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Institution: | Department of Statistics , Quaid-i-Azam University , Islamabad, Pakistan |
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Abstract: | Kadilar and Cingi (2006
Kadilar , C. ,
Cingi , H. ( 2006 ). Improvement in variance estimation using auxiliary information . Hacett. J. Math. Statist. 35 ( 1 ): 111 – 115 . Google Scholar]) have introduced an estimator for the population variance using an auxiliary variable in simple random sampling. We propose a new ratio-type exponential estimator for population variance which is always more efficient than usual ratio and regression estimators suggested by Isaki (1983
Isaki , C. T. ( 1983 ). Variance estimation using auxiliary information . J. Amer. Statist. Assoc. 78 : 117 – 123 .Taylor & Francis Online], Web of Science ®] , Google Scholar]) and by Kadilar and Cingi (2006
Kadilar , C. ,
Cingi , H. ( 2006 ). Improvement in variance estimation using auxiliary information . Hacett. J. Math. Statist. 35 ( 1 ): 111 – 115 . Google Scholar]). Efficiency comparison is carried out both mathematically and numerically. |
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Keywords: | Auxiliary variable Bias Efficiency Exponential ratio type-estimator Mean square error (MSE) Variance (Var) |
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