Efficient Estimators of Finite Population Mean using Predictive Estimation in Simple Random Sampling

Abstract

This paper suggests the prediction approach for estimating the population mean under Simple Random Sampling Without Replacement. We propose an Estimator using a predictor and study its properties. The Bias and Mean Square Error (MSE) expression of Proposed Estimator has been derived up to the first order approximation. It has been shown that the Proposed Estimator is more efficient than usual Unbiased Estimator, Exponential Ratio and Exponential Product Estimators and Estimator recently proposed by Singh et al. (2014). In support of the theoretical, numerical illustration has also been carried out.