Calibrated Edgeworth expansions of finite population L-statistics

IF 1.4 3区社会学 Q3 DEMOGRAPHY

Mathematical Population Studies Pub Date : 2020-04-02 DOI:10.1080/08898480.2018.1553408

Andrius Čiginas, D. Pumputis

引用次数: 1

Abstract

ABSTRACT A short Edgeworth expansion is approximated for the distribution function of a Studentized linear combination of order statistics computed on a random sample drawn without replacement from a finite population, and using auxiliary data available for the population units. Simulations show an improvement over the usual Gaussian approximation and previous empirical Edgeworth expansions. Naive synthetic estimates of the distribution function, based on the auxiliary data only, yield accurate results when the auxiliary variable is well correlated with the study variable.

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有限总体L-统计量的校正Edgeworth展开式

摘要：对阶统计量的研究线性组合的分布函数进行了短Edgeworth展开式近似，该线性组合是在从有限总体中无需替换的随机样本上计算的，并使用总体单位可用的辅助数据。模拟表明，与通常的高斯近似和以前的经验Edgeworth展开相比，有了改进。当辅助变量与研究变量良好相关时，仅基于辅助数据对分布函数的朴素综合估计会产生准确的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Population Studies 数学-数学跨学科应用

CiteScore

3.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematical Population Studies publishes carefully selected research papers in the mathematical and statistical study of populations. The journal is strongly interdisciplinary and invites contributions by mathematicians, demographers, (bio)statisticians, sociologists, economists, biologists, epidemiologists, actuaries, geographers, and others who are interested in the mathematical formulation of population-related questions. The scope covers both theoretical and empirical work. Manuscripts should be sent to Manuscript central for review. The editor-in-chief has final say on the suitability for publication.