Assessing the Effect of Non-response in Stratified Random Sampling using Enhanced Ratio Type Estimators under Double Sampling Strategy.

IF 1.1 Q3 STATISTICS & PROBABILITY Pakistan Journal of Statistics and Operation Research Pub Date : 2023-09-03 DOI:10.18187/pjsor.v19i3.4063

Zakir Hussain Wani, S.E.H. Rizvi, 𝑛𝑥̅ 𝑠𝑡∗, 𝛾, 𝑛 𝑛′𝑥̅−, 𝑦̅ 𝑧𝑟𝑐𝑝∗, 𝑦̅, 𝑠𝑡∗, 𝑛 ′ − 𝑛 𝑛𝑥̅ 𝑠𝑡, 𝑥̅ 𝑠𝑡𝑆, 𝑥̅ 𝑠𝑡∗′, 𝑠𝑡𝑆, 𝑋̅, 𝑛 1𝑛′−, 1 𝑋̅, 𝑡, 𝑡 𝜉1𝑠𝑡∗′−, 𝜉, 𝑋̅ − 𝑋̅, − 𝑌̅ 𝑌̅, 𝑡 −, 𝜉 1𝑠𝑡∗, 𝑡 𝜉1𝑠𝑡∗′, 𝑦 𝑧𝑟𝑐𝑝∗

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Abstract

In this paper, separate and combined ratio type estimators have been proposed in presence of non-response for estimating the population mean under stratified random sampling when the non-response occurs both on study and the auxiliary variables and the population mean of the auxiliary variable is unknown. The expressions for the biases and mean square errors (MSEs) of the proposed estimators have been derived to the first order of approximation. The proposed estimators have been compared with the other existing estimators using MSE criterion, and the condition under which the proposed estimators perform better than existing estimators have been obtained. In addition to the theoretical research, an empirical study was conducted.

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在双重抽样策略下使用增强比率型估计评估分层随机抽样中无响应的影响。

本文提出了在研究和辅助变量均无响应且辅助变量的总体均值未知的情况下，在分层随机抽样条件下的总体均值估计中存在无响应情况下的单独和组合比率型估计量。所提出的估计器的偏差和均方误差(mse)的表达式已导出到一阶近似。利用MSE准则将所提出的估计量与已有的估计量进行了比较，得到了所提出的估计量优于现有估计量的条件。在理论研究的基础上，进行了实证研究。

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来源期刊

Pakistan Journal of Statistics and Operation Research STATISTICS & PROBABILITY-

CiteScore

3.30

自引率

26.70%

发文量

期刊介绍： Pakistan Journal of Statistics and Operation Research. PJSOR is a peer-reviewed journal, published four times a year. PJSOR publishes refereed research articles and studies that describe the latest research and developments in the area of statistics, operation research and actuarial statistics.