Estimation of Population Total using Local Polynomial Regression with Two Auxiliary Variables

Abstract

In this paper, the estimation for finite population total of a study variable will be considered, and the local linear regr ession will be used. The study variable is available for the sample and is supplemented by two auxiliary variables, which are available for every element in the finite population. Also, the resampling metho ds will be combined with the local linear regression method to estimate the total. The comparisons between different methods will be performed based on the mean squared error (MSE), mean absolute error (MAE), and mean absolute percentage error (MAPE). A simulation study is carried out to assess the effects.