Abstract

This paper proposes a family of exponential estimators for estimating the finite population variance using auxiliary information in simple random sampling. Expressions for bias, mean squared error and its minimum values have been obtained. The comparisons have been made with the usual unbiased estimator, Isaki (J. Am. Stat. Assoc.78: 117-123, 1983), Kadilar and Cingi (Appl. Math. & Comput., 173, 1047-1059), Upadhyaya and Singh (Vikram Math. J. 19, 14-17, 1999a) and Lone and Tailor (Pak. J. Stat. Oper.res. Vol.XI, No.2, pp 213-220, 2015). An empirical study is carried out to judge the merits of proposed estimator over the traditional estimators.

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References

1. Isaki, C. T. (1983). Variance estimation using auxiliary information. J. Amer. Statist. Assoc. 78, 117-123.
2. Kadilar, C. and Cingi, H. (2006). Ratio estimators for the population in simple and stratified random sampling. Applied Maths. & Comp., 173, 1047-1059.
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4.Tailor, R. and Lone, H. A. (2015). A family of estimators for estimating population variance using auxiliary information in sample survey. Pak. J. Stat. Oper. Res. Vol.XI, No.2, pp 213-220.
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