New Exponential Ratio Estimator in Ranked Set Sampling

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Rather Khalid, E. Koçyiğit, Ceren Ünal
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引用次数: 2

Abstract

In this study, we adapted the families of estimators from Ünal and Kadilar (2021)  using the exponential function for the population mean in case of non-response for simple random sampling for the estimation of the mean of the population with the RSS (ranked set sampling) method. The equations for the MSE and the bias of the adapted estimators are obtained for RSS and it in theory shows that the proposed estimator is additional efficient than the present RSS mean estimators in the literature. In addition, we support these theoretical results with real COVID-19 real data and conjointly the simulation studies with different distributions and parameters. As a result of the study, it was observed that the efficiency of the proposed estimator was better than the other estimators.
排序集抽样中一种新的指数比率估计
在本研究中,我们采用了Ünal和Kadilar(2021)的估计器族,在简单随机抽样无响应的情况下,使用指数函数来估计总体均值,并使用RSS(排名集抽样)方法估计总体均值。得到了相应估计量的均方误差和偏置方程,并从理论上证明了所提估计量比现有文献中的平均估计量更有效。此外,我们用真实的COVID-19真实数据以及不同分布和参数的模拟研究来支持这些理论结果。研究结果表明,该估计器的效率优于其他估计器。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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