{"title":"Calibrated Edgeworth expansions of finite population L-statistics","authors":"Andrius Čiginas, D. Pumputis","doi":"10.1080/08898480.2018.1553408","DOIUrl":null,"url":null,"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.","PeriodicalId":49859,"journal":{"name":"Mathematical Population Studies","volume":"27 1","pages":"59 - 80"},"PeriodicalIF":1.4000,"publicationDate":"2020-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/08898480.2018.1553408","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Population Studies","FirstCategoryId":"90","ListUrlMain":"https://doi.org/10.1080/08898480.2018.1553408","RegionNum":3,"RegionCategory":"社会学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"DEMOGRAPHY","Score":null,"Total":0}
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.
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
