An Improved Linear Combination of Two Estimators for Reducing the Mean Squared Error in a Sample Survey under Simple Random Sampling

The objectiveof this paper is to improve the efficiency of a linear combination of two estimators for estimating the population mean using auxiliary information in a sample survey. We also study some properties of the new estimator by using the concept of large-sampleapproximations and comparing them with some existing estimators through the numerical study. To achieve this, three data sets are used to support the performance of the new estimator. It has been shown that the new estimator is equivalent in terms of efficiency as compared to usual linear regression and it is better than other existing estimators under consideration in the terms of Mean Squared Error (MSE) and Percent Relative Efficiencies (PREs).