Robust ratio estimators of population mean for skewed and contaminated population
Document Type
Article
Publication Date
9-16-2022
Publication Title
Journal of Statistical Computation and Simulation
Abstract
The efficiency of the traditional ratio estimator decreases with the presence of outliers, inliers or when the underlying distribution is not normal. To improve the efficiency, we propose new robust ratio estimators utilizing the Lloyd’s robust estimator and modified maximum likelihood estimator (MMLE), and provide their theoretical properties. We calculate the mean square error and relative efficiency of the proposed estimators and compare its performance with some other existing traditional estimators via a simulation study under various contamination or misspecification models. Further, we evaluate the exact value of the mean square error and to compare the performance of the proposed estimators using the numerical illustrations.
First Page
800
Last Page
817
Volume
93
Issue
5
Recommended Citation
Ahmed, Azaz; Sanaullah, Aamir; Oral, Evrim; and Hanif, Muhammad, "Robust ratio estimators of population mean for skewed and contaminated population" (2022). School of Public Health Faculty Publications. 116.
https://digitalscholar.lsuhsc.edu/soph_facpubs/116
10.1080/00949655.2022.2120994