统计与决策2024，Vol.40Issue(7)：34-39,6.DOI:10.13546/j.cnki.tjyjc.2024.07.006
无回答与计量误差叠加时总体方差的校准估计
Calibration Estimators of Population Variance Under the Simultaneous Influence of Non-response and Measurement Errors
摘要
Abstract
Non-sampling error is a kind of systematic error that may exist in probability sampling,non-probability sampling and overall survey,and will have an important impact on the quality of statistical data and estimated results.At present,there are insufficient researches on the estimation of finite population parameters from the perspective of non-sampling error,and few re-searches on the estimation of population variance when multiple non-sampling errors are superimposed.This paper is based on the calibration estimation method to the estimation of finite population variance in stratified random sampling when the two kinds of non-sampling errors exist simultaneously,and then proposes an improved population variance calibration estimator for the case of non-response and measurement error superposition.Finally,on this basis,the paper investigates the statistical properties of the proposed calibration estimator,and deduces the first-order approximate mathematical expressions of its deviation and mean square error.Both the simulation studies and real data results show that the proposed calibration estimators are always more effi-cient than Singh's standard estimators.关键词
校准/计量误差/无回答误差/总体方差/分层随机抽样Key words
calibration/measurement errors/non-response errors/population variance/stratified random sampling分类
数理科学引用本文复制引用
庞智强,牛玺娟,王朝旭..无回答与计量误差叠加时总体方差的校准估计[J].统计与决策,2024,40(7):34-39,6.基金项目
国家社会科学基金重点项目(20ATJ006) （20ATJ006）
青海师范大学中青年科研基金资助项目(KJQN2022004) （KJQN2022004）
兰州财经大学博士研究生科研创新项目(2021D16) （2021D16）
