政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/119645

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | 全文笔数/总笔数 : 115265/146304 (79%)
造访人次 : 54703657 在线人数 : 305

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

政大機構典藏 > 商學院 > 統計學系 > 期刊論文 > Item 140.119/119645

请使用永久网址来引用或连结此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/119645

题名:	Estimation of the Mean Value for the Normal Distribution with Constraints On D-Risk
作者:	Salimov, R.F 楊素芬 Yang, SF Turilova, E.A
贡献者:	統計系
日期:	2018-04
上传时间:	2018-08-27 17:05:39 (UTC+8)
摘要:	We consider the problem of an estimation of the mean value of the normal distribution with a prior information that this parameter is positive and very small. The prior information is implemented in terms of the exponential prior distribution. The estimation procedures are constructed for two cases: fixed sample size and sequential estimation that guarantee the given constraints on the precision and the d-risk of the estimator. An analytical review of the comprehensive literature for the problems of guaranteed statistical inference (d-risk and pFDR) is provided. For the practical applications of the proposed estimators with the unknown value of the prior distribution parameter, we solve the problem of choosing this parameter in the framework of empirical (parametric) Bayesian approach or in the framework of existing State Standards on the precision and output quality of the estimated parameter. As an implementation of the proposed statistical procedures, the problem of estimation of the chemical element of arsenic (As) in a food product is considered. The model parameters are chosen according to the State Standards for carrying out a laboratory tests for As detection. For the chosen values of the parameters, the probability of stopping for the experiment is estimated for each step by the method of statistical simulations. The histogram of the Bayesian estimate for the As content is presented.
關聯:	Lobachevskii Journal of Mathematics, Volume 39, Issue 3, pp 377–387
数据类型:	article
DOI 連結:	https://doi.org/10.1134/S1995080218030174
DOI:	10.1134/S1995080218030174
显示于类别:	[統計學系] 期刊論文

文件中的档案:

档案	描述	大小	格式	浏览次数
index.html		0Kb	HTML2	900	检视/开启

在政大典藏中所有的数据项都受到原著作权保护.

社群 sharing

著作權政策宣告 Copyright Announcement

1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.

数据加载中.....