Efficiency Evaluation of Ratio Estimators in Simple Random Sampling

Abstract

In literature, several ratio type estimators of population mean were proposed by statisticians but none of them made pair wise comparison of these estimators. In this paper an attempt has been made for pair wise efficiency comparison of the same and find out the different conditions on which one estimator performed better than the other. Depending on the structure of data used, the efficiency comparison of these estimators is varied in certain circumstances. In this study we have revealed the efficiency conditions of the existing ratio estimators, through pair wise comparisons and examine the relative performance of ratio estimators in terms of efficiency and unbiasedness empirically.