RATIO ESTIMATORS FOR POPULATION MEAN USING ROBUST AND EFFICIENT WEIGHTED LEAST SQUARES ESTIMATE IN CASE OF OUTLIERS

Volume 20 No 6 (2022)

Syed Adil Farooq, Amit kumar Attri, Gowher Ahmad Wani, Khalid Hussian, Milan Srivastava and Mir Subzar

DOI: 10.48047/NQ.2022.20.6.NQ22995

Abstract

Ordinary Least Square (OLS) estimators for a linear model are very sensitive to unusual values in the design space or outliers among y values. Even one single atypical value may have a large effect on the parameter estimates. This paper aims at adapting the Robust and Efficient Weighted Least Squares Estimate (REWLSE) to the estimators using OLS method proposed by Subramani and Kumarapandiyan (2012) and compares them in terms of efficiencies. In addition, we also have a real data application to compare the performance of existing estimators using OLS with estimators using REWLSE.

Keywords

Ratio Estimators, OLS, REWLSE, MSE, Efficiency

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