A Dual to Difference-Cum-Product Type Exponential Estimator of Population Mean in Stratified Random Sampling
Pooja Yadav
*
Department of Statistics, University of Lucknow, Lucknow-226007, India.
Mukesh Kumar
Department of Statistics, University of Lucknow, Lucknow-226007, India.
*Author to whom correspondence should be addressed.
Abstract
This paper aims to enhance the estimation of population mean of study variable through the use of an ancillary variable in stratified random sampling. This paper has suggested a combined type estimator for estimating population mean \(\bar{Y}\) by dual transformation of ancillary variable under stratified random sampling. The bias and mean square error (MSE) expressions of the suggested estimator have been obtained, up to the terms of degree two. The optimum values of constant have also been obtained and using these optimum values, the minimum MSE has been found. The mean square error (MSE) of the recommended estimator has been compared theoretically with that of other previous estimators of this category. It has been observed and shown that proposed estimator perform better than other existing estimators. The numerical study has also been done with actual data set and found that the suggested estimator is more appropriate. The percent relative efficiency (PRE) has been reported in the table which clearly indicates that proposed estimator has high PRE.
Keywords: Bias, MSE, PRE, combine ratio estimators, stratified sampling