{"title":"Composite estimator based on the recursive ratio for an arbitrary rotation scheme","authors":"Barbara Kowalczyk, D. Juszczak","doi":"10.1080/08898480.2018.1477385","DOIUrl":null,"url":null,"abstract":"ABSTRACT Partial replacement of units in repeated surveys increases the efficiency of the estimation of the population mean. The composite estimator with constant coefficients, based on the recursive ratio, is useful in surveys with many variables. The mean square error of this estimator is obtained for an arbitrary rotation scheme. Comparisons indicate that it is more efficient than the sample mean for various rotation schemes. Simulations show that it performs better than other composite estimators in surveys with many variables changing differently over time.","PeriodicalId":49859,"journal":{"name":"Mathematical Population Studies","volume":"25 1","pages":"227 - 247"},"PeriodicalIF":1.4000,"publicationDate":"2018-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/08898480.2018.1477385","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Population Studies","FirstCategoryId":"90","ListUrlMain":"https://doi.org/10.1080/08898480.2018.1477385","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: 0
Abstract
ABSTRACT Partial replacement of units in repeated surveys increases the efficiency of the estimation of the population mean. The composite estimator with constant coefficients, based on the recursive ratio, is useful in surveys with many variables. The mean square error of this estimator is obtained for an arbitrary rotation scheme. Comparisons indicate that it is more efficient than the sample mean for various rotation schemes. Simulations show that it performs better than other composite estimators in surveys with many variables changing differently over time.
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.