Variance estimation based on L-moments and auxiliary information. Issue 1 (2nd January 2022)

• Record Type: Journal Article
• Authors: Shahzad, Usman; Ahmad, Ishfaq; Almanjahie, Ibrahim Mufrah; Koyuncu, Nursel; Hanif, Muhammad
• Is Part Of: Mathematical population studies. Volume 29:Issue 1(2022)
• Page Start: 31
• Page End: 46
• Publication Date: 2022-01-02
• Subjects: Calibration; L-moments; stratified random sampling; variance estimation; Demography -- Mathematical models -- Periodicals; Demography -- Mathematics -- Periodicals; 304.60724
• DOI: 10.1080/08898480.2021.1949923
• Languages: English
• ISSNs: 0889-8480

Abstract

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.