Second Order Biases and Mean Squared Errors of Some Estimators Using Single Auxiliary Variable

Abstract

The ratio, product, chain ratio, chain product, chain regression and ratio-cum product estimators have been considered by Chand (1975), Kiregyera (1980, 1984), Upadhyaya et. al. (1990, 1992), Srivastava et. al. (1990), Prasad et. al. (1992), Sahoo and Sahoo (1993), Singh (1993). Most of them discussed these estimators along with their first order bias and mean square error. In this paper, we have tried to find out the second order biases and mean square errors of these estimators based on simple random sampling. Finally, we have compared the performance of these estimators with some numerical illustration.