Variance estimation based on L-moments and auxiliary information

Usman Shahzad, Ishfaq Ahmad, Ibrahim Mufrah Almanjahie, Nursel Koyuncu and Muhammad Hanif

Mathematical Population Studies, 2022, vol. 29, issue 1, 31-46

Abstract: The presence of extreme values in a data set reduces the efficiency of variance estimators. L-moments are based on the ordered form of a random variable to estimate the variance of the population. The two variance estimators are used for calibration to a stratified random sampling design and relying on an auxiliary variable. The proposed estimators use the properties of L-moments, such as the L-mean, also called L-location, the L-standard deviation, also called L-scaling, and the L-coefficient of variation, which is a measure of variation. The use of these properties allows for providing better estimators. A simulation proves the better efficiency of these estimators.

Date: 2022
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DOI: 10.1080/08898480.2021.1949923

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