对 h 次连续取样的总体平均值的有效估计策略

IF 0.8 4区 综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2024-07-04 DOI:10.1007/s40010-024-00887-7
A. K. Sharma, Mohd Irfan, A. K. Singh
{"title":"对 h 次连续取样的总体平均值的有效估计策略","authors":"A. K. Sharma,&nbsp;Mohd Irfan,&nbsp;A. K. Singh","doi":"10.1007/s40010-024-00887-7","DOIUrl":null,"url":null,"abstract":"<div><p>Two-occasion sampling might only provide a snapshot of the phenomenon under investigation. Extending to h occasions allows researchers to capture long-term trends, patterns, and changes that may emerge over time. In h-occasion successive sampling, the effective estimation of population mean is an important factor for agriculture, socioeconomic, pandemics surveys when reliable estimates are required at the h-th occasion (recent-occasion). A difference-type model of an estimator is suggested for the estimation which is escorted with the information on two auxiliary variables. The optimal estimator is the combination of the matched and unmatched sample units in the h-occasion successive sampling. Empirical studies with the competent natural mean estimator and difference type estimator based on bias and mean square errors have been demonstrated in the estimator's efficiency context. A data analysis has been conducted for the applicability to the suggested model. The approach of this work provides valuable insights into long-term trends, developmental trajectories, causal relationships, and the dynamic nature of the real-world problems.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"94 3","pages":"279 - 285"},"PeriodicalIF":0.8000,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Effective Estimation Strategy for Population Mean over Successive Sampling of h Occasion\",\"authors\":\"A. K. Sharma,&nbsp;Mohd Irfan,&nbsp;A. K. Singh\",\"doi\":\"10.1007/s40010-024-00887-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Two-occasion sampling might only provide a snapshot of the phenomenon under investigation. Extending to h occasions allows researchers to capture long-term trends, patterns, and changes that may emerge over time. In h-occasion successive sampling, the effective estimation of population mean is an important factor for agriculture, socioeconomic, pandemics surveys when reliable estimates are required at the h-th occasion (recent-occasion). A difference-type model of an estimator is suggested for the estimation which is escorted with the information on two auxiliary variables. The optimal estimator is the combination of the matched and unmatched sample units in the h-occasion successive sampling. Empirical studies with the competent natural mean estimator and difference type estimator based on bias and mean square errors have been demonstrated in the estimator's efficiency context. A data analysis has been conducted for the applicability to the suggested model. The approach of this work provides valuable insights into long-term trends, developmental trajectories, causal relationships, and the dynamic nature of the real-world problems.</p></div>\",\"PeriodicalId\":744,\"journal\":{\"name\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"volume\":\"94 3\",\"pages\":\"279 - 285\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-07-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"FirstCategoryId\":\"103\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40010-024-00887-7\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","FirstCategoryId":"103","ListUrlMain":"https://link.springer.com/article/10.1007/s40010-024-00887-7","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
引用次数: 0

摘要

两次取样可能只能提供所调查现象的一个缩影。扩展到 h 次,研究人员就能捕捉到长期趋势、模式和可能随着时间推移而出现的变化。在 h 次连续抽样中,当需要对 h 次(最近一次)进行可靠估计时,有效估计人口平均值是农业、社会经济和流行病调查的一个重要因素。建议采用差分型估算模型进行估算,该模型由两个辅助变量的信息护航。最佳估计器是 h 次连续抽样中匹配和非匹配样本单位的组合。基于偏差和均方误差的自然平均估算器和差分估算器的实证研究证明了估算器的效率。还对建议模型的适用性进行了数据分析。这项工作的方法为了解长期趋势、发展轨迹、因果关系和现实世界问题的动态性质提供了宝贵的见解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
An Effective Estimation Strategy for Population Mean over Successive Sampling of h Occasion

Two-occasion sampling might only provide a snapshot of the phenomenon under investigation. Extending to h occasions allows researchers to capture long-term trends, patterns, and changes that may emerge over time. In h-occasion successive sampling, the effective estimation of population mean is an important factor for agriculture, socioeconomic, pandemics surveys when reliable estimates are required at the h-th occasion (recent-occasion). A difference-type model of an estimator is suggested for the estimation which is escorted with the information on two auxiliary variables. The optimal estimator is the combination of the matched and unmatched sample units in the h-occasion successive sampling. Empirical studies with the competent natural mean estimator and difference type estimator based on bias and mean square errors have been demonstrated in the estimator's efficiency context. A data analysis has been conducted for the applicability to the suggested model. The approach of this work provides valuable insights into long-term trends, developmental trajectories, causal relationships, and the dynamic nature of the real-world problems.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
CiteScore
2.60
自引率
0.00%
发文量
37
审稿时长
>12 weeks
期刊介绍: To promote research in all the branches of Science & Technology; and disseminate the knowledge and advancements in Science & Technology
期刊最新文献
Double Sequences of Bi-complex Numbers Estimation of Crustal Tilting from Petrotectonic Interpretation of Mesozone Granitoid and its Marginal Parts, Eastern Dharwar Craton, India Transition Temperature versus Formula Mass of Selected High-TC Oxide Superconductors: A Step Closure to Room Temperature Superconductivity A Study on Countability in the Context of Multiset Topological Spaces On Machining Profile Accuracy in the Modified Electrochemical Machining Process
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1