Variance estimation based on L-moments and auxiliary information

Shahzad U., Ahmad I., Almanjahie I. M., KOYUNCU N., Hanif M.

MATHEMATICAL POPULATION STUDIES, vol.29, no.1, pp.31-46, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 29 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.1080/08898480.2021.1949923
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.31-46
  • Keywords: Calibration, L-moments, stratified random sampling, variance estimation, CALIBRATION ESTIMATOR
  • Hacettepe University Affiliated: Yes


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.