Heuristical Approach for Optimizing Population Mean Using Ratio Estimator in Stratified Random Sampling

IF 0.9 Q3 STATISTICS & PROBABILITY Journal of Reliability and Statistical Studies Pub Date : 2023-11-20 DOI:10.13052/jrss0974-8024.1617
G. Triveni, Faizan Danish
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Abstract

In this study, we have developed a Ratio type estimator in Stratified sampling to estimate the population average of study variable by using the information of a concomitant variable. By utilizing Taylor’s series, we have derived the expressions for Bias and MSE upto first degree of approximation. In numerical illustration, employing a real data set, we have demonstrated that the proposed estimator has highest Percentage relative efficiency when compared to the considered existing estimatrs. Furthermore, we have demonstrated that Separate ratio type estimators have the highest relative efficiency when contrasted with the Combined ratio type estimators.
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在分层随机抽样中使用比率估计器优化人口平均值的启发式方法
在本研究中,我们开发了一种分层抽样中的比率型估计器,利用伴随变量的信息来估计研究变量的人口平均值。通过使用泰勒级数,我们推导出了偏差和 MSE 的表达式,直至一级近似值。通过使用真实数据集进行数值说明,我们证明了与现有的估计方法相比,所提出的估计方法具有最高的百分比相对效率。此外,我们还证明,与组合比率型估计器相比,分离比率型估计器具有最高的相对效率。
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
CiteScore
1.60
自引率
12.50%
发文量
24
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