English

Finite population inference for skewness measures

Methodology 2025-02-20 v3

Abstract

In this article we consider Bowley's skewness measure and the Groeneveld-Meeden b3b_{3} index in the context of finite population sampling. We employ the functional delta method to obtain asymptotic variance formulae for plug-in estimators and propose corresponding variance estimators. We then consider plug-in estimators based on the H\'{a}jek cdf-estimator and on a Deville-S\"arndal type calibration estimator and test the performance of normal confidence intervals.

Keywords

Cite

@article{arxiv.2411.18549,
  title  = {Finite population inference for skewness measures},
  author = {Leo Pasquazzi},
  journal= {arXiv preprint arXiv:2411.18549},
  year   = {2025}
}
R2 v1 2026-06-28T20:14:54.530Z