An Edgeworth expansion for finite population L-statistics

TL;DR

This paper derives an explicit Edgeworth expansion for finite population L-statistics, providing correction formulas and conditions for its validity based on weight functions and moments.

Contribution

It introduces a one-term Edgeworth expansion for finite population L-statistics with explicit correction formulas and validity conditions.

Findings

Explicit formula for Edgeworth correction term

Sufficient conditions for expansion validity

Applicability to finite population L-statistics

Abstract

In this paper, we consider the one-term Edgeworth expansion for finite population L-statistics. We provide an explicit formula for the Edgeworth correction term and give sufficient conditions for the validity of the expansion which are expressed in terms of the weight function that defines the statistics and moment conditions.