摘要:In this study, we initially adapt ratio type esti- mators by replacing traditional OLS regression coef- ficient with their robust alternatives. After that, we propose robust regression type estimators for the es- timation of the population mean of the subject vari-able utilizing the supplementarylinformation under a systematic random sampling scheme by eliminating ratio part from robust ratio type estimators. We also obtain the MSE expressions for proposed estimators. The purpose of proposed estimators is to provide an efficient estimate of a population mean under sys- tematic random sampling in presence of outliers. For this, we perform a study and find the superior results of proposed robust regression type estimators over adapted ones. Further, we also used numerical appli- cations in forestry to support these theoretical results. Therefore, the suggested estimator could be applied across a broad spectrum of sampling survey.
关键词:Ratio-type estimators;Regression-type estimators;Robust regression method;Systematic random sampling