Estimation of population variance in simple random sampling

Abstract

In this paper, an estimator in simple random sampling has been proposed to estimate the population variance. Conditions under which the proposed estimator is more efficient than usual unbiased estimator and estimators given by Isaki (1983), Kadilar and Cingi (2006), Upadhyaya and Singh (1999), Singh and Solanki (2013), Singh et al. (1973), Das and Tripathi (1978), Singh et al.(1988), Prasad and Singh (1992), Garcia and Cebrian (1996) , Upadhyaya and Singh (2001) and Shabbir and Gupta (2006) are obtained. The bias and mean squared error of the proposed estimator is obtained up to the first degree of approximation. To judge the merits of the proposed estimator over other estimators, we consider three numerical examples.

Keywords:

• Mean squared error
• Bias
• Auxiliary information
• ratio-cum-product estimators

Mathematical Subject Classification:

• 62D05