政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/120062

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 109952/140887 (78%)
Visitors : 46341272 Online Users : 845

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

Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer

政大典藏 > College of Science > Department of Mathematical Sciences > Proceedings > Item 140.119/120062

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/120062

Title:	Interval-valued and fuzzy-valued random variables: from computing sample variances to computing sample covariances
Authors:	Beck, Jan B. Kreinovich, Vladi 吳柏林 Wu, Berlin
Contributors:	應數系
Keywords:	Interval Arithmetic;Interval Uncertainty;Random Interval;Interval Computation;Computing Versus
Date:	2004
Issue Date:	2018-09-11 17:58:53 (UTC+8)
Abstract:	Due to measurement uncertainty, often, instead of the actual values xi of the measured quantities, we only know the intervals xi=[x~i−Δi,x~i+Δi], where x~i is the measured value and Δi is the upper bound on the measurement error (provided, e.g., by the manufacturer of the measuring instrument). These intervals can be viewed as random intervals, i.e., as samples from the interval-valued random variable. In such situations, instead of the exact value of the sample statistics such as the covariance Cxy, we can only have an interval Cx,y of possible values of this statistic. It is known that in general, computing such an interval Cx,y for Cxy is an NP-hard problem. In this paper, we describe an algorithm that computes this range Cx,y for the case when the measurements are accurate enough—so that the intervals corresponding to different measurements do not intersect much.
Relation:	Soft methodology and random information systems, 85-92, Adv. Soft Comput., Springer, Berlin, 2004 Part of the Advances in Soft Computing book series (AINSC, volume 26)
Data Type:	conference
DOI link:	https://doi.org/10.1007/978-3-540-44465-7_9
DOI:	10.1007/978-3-540-44465-7_9
Appears in Collections:	[Department of Mathematical Sciences] Proceedings

Files in This Item:

File	Description	Size	Format
10.1007_978-3-540-44465-7.pdf		69479Kb	Adobe PDF2	309	View/Open

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.

Loading...