Improved Ratio Type Estimators using some Prior Information in Sample Surveys: A Case Study of Fine Particulate Matter in Thailand

Q3 Mathematics

WSEAS Transactions on Systems and Control Pub Date : 2023-05-29 DOI:10.37394/23202.2023.22.54

Nuanpan Lawson

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引用次数: 0

Abstract

Air pollution affects Thai people's health and social life nowadays as it exceeds the standards levels of both Thailand and the World Health Organization. Estimating air pollution data can benefit understanding and determining policies to help deal with this issue. Prior knowledge from past surveys or censuses could be useful for increasing the effect of the estimation. Improved ratio estimators utilizing prior knowledge in simple random sampling without replacement have been advocated. The property of the mean square error of the proposed class of estimators is obtained. We applied the proposed estimators to the fine particulate matter data in Dindang in 2019. The results from the air pollution data illustrate the improved ratio type estimators work better with respect to the existing estimator using some prior information. Existing knowledge of the quartile average and the median of the auxiliary variable gives rise to the best estimators with the lowest mean square errors for estimating fine particulate matter. Nevertheless, the proposed estimators are useful for small sampling fractions which can help in financial and time-consuming.

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在抽样调查中使用一些先验信息的改进比率型估计:以泰国细颗粒物为例研究

空气污染已经超过泰国和世界卫生组织的标准水平，影响着泰国人民的健康和社会生活。估计空气污染数据有助于理解和确定政策，以帮助解决这一问题。从过去的调查或人口普查中获得的先验知识可能有助于提高估计的效果。提出了一种利用先验知识进行简单随机抽样而不进行替换的改进比率估计方法。得到了这类估计量的均方误差的性质。我们将提出的估算方法应用于2019年定当市细颗粒物数据。空气污染数据的结果表明，改进的比率型估计器比使用一些先验信息的现有估计器工作得更好。对辅助变量的四分位数平均值和中位数的现有知识可以产生用于估计细颗粒物的均方误差最小的最佳估计器。然而，所提出的估计器对小采样分数是有用的，这可以帮助节省资金和时间。

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来源期刊

WSEAS Transactions on Systems and Control Mathematics-Control and Optimization

CiteScore

1.80

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Systems and Control publishes original research papers relating to systems theory and automatic control. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with systems theory, dynamical systems, linear and non-linear control, intelligent control, robotics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.