Efficient estimation of population mean in the presence of non-response and measurement error

Q4 Mathematics

Statistics in Transition Pub Date : 2023-06-13 DOI:10.59170/stattrans-2023-038

Kuldeep Kumar Tiwari, Vishwantra Sharma

引用次数: 1

Abstract

In real-world surveys, non-response and measurement errors are common, therefore studying them together seems rational. Some population mean estimators are modified and studied in the presence of non-response and measurement errors. Bias and mean squared error expressions are derived under different cases. For all estimators, a theoretical comparison is made with the sample mean per unit estimator. The Monte-Carlo simulation is used to present a detailed picture of all estimators’ performance.

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存在无响应和测量误差时总体平均值的有效估计

在现实世界的调查中，无反应和测量误差是常见的，因此将它们放在一起研究似乎是合理的。对存在无响应误差和测量误差的总体均值估计量进行了改进和研究。推导了不同情况下的偏差和均方误差表达式。对于所有估计量，都与每单位估计量的样本均值进行了理论比较。蒙特卡罗模拟用于展示所有估计器性能的详细图像。

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

Statistics in Transition Decision Sciences-Statistics, Probability and Uncertainty

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

9 weeks

期刊介绍： Statistics in Transition (SiT) is an international journal published jointly by the Polish Statistical Association (PTS) and the Central Statistical Office of Poland (CSO/GUS), which sponsors this publication. Launched in 1993, it was issued twice a year until 2006; since then it appears - under a slightly changed title, Statistics in Transition new series - three times a year; and after 2013 as a regular quarterly journal." The journal provides a forum for exchange of ideas and experience amongst members of international community of statisticians, data producers and users, including researchers, teachers, policy makers and the general public. Its initially dominating focus on statistical issues pertinent to transition from centrally planned to a market-oriented economy has gradually been extended to embracing statistical problems related to development and modernization of the system of public (official) statistics, in general.