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Variance estimation based on L-moments and auxiliary information

Author

Listed:
  • Usman Shahzad
  • Ishfaq Ahmad
  • Ibrahim Mufrah Almanjahie
  • Nursel Koyuncu
  • Muhammad Hanif

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.

Suggested Citation

  • Usman Shahzad & Ishfaq Ahmad & Ibrahim Mufrah Almanjahie & Nursel Koyuncu & Muhammad Hanif, 2022. "Variance estimation based on L-moments and auxiliary information," Mathematical Population Studies, Taylor & Francis Journals, vol. 29(1), pages 31-46, January.
    • Handle: RePEc:taf:mpopst:v:29:y:2022:i:1:p:31-46
    DOI: 10.1080/08898480.2021.1949923
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