Family of Estimators of Mean, Ratio, and Product of a Finite Population Using Random Nonresponse

In this paper a family of estimators for estimating mean, ratio and product of two means of a finite population has been suggested and studied under the two different situations of random non-response considered by Tracy and Osahan (1994), Singh and Joarder (1998) and Singh, Joarder and Tracy (2000). Asymptotic expressions of biases and mean squared errors of the proposed families have been derived. Optimum conditions have been obtained under which the proposed families of estimators have the minimum mean squared error (MSE). Further the optimum values (depending upon population parameters) when replaced by sample values yield the estimators having the minimum MSE of the optimum estimators. The estimators for MSE’s of the suggested families are also given.