政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/135222

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 109952/140887 (78%)
Visitors : 46285720 Online Users : 765

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 > Periodical Articles > Item 140.119/135222

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/135222

Title:	On binomial and Poisson sums arising from the displacement of randomly placed sensors
Authors:	符麥克 Fuchs, Michael Kao, Louis Wu, Wan-Zhen
Contributors:	應數系
Keywords:	asymptotics;displacement cost;generating functions;Laplace method;sensor
Date:	2020-12
Issue Date:	2021-05-27 11:41:50 (UTC+8)
Abstract:	We re-visit the asymptotics of a binomial and a Poisson sum which arose as (average) displacement costs when moving randomly placed sensors to anchor positions. The first-order asymptotics of these sums were derived in several stages in a series of recent papers. In this paper, we give a unified approach based on the classical Laplace method with which one can also derive more terms in the asymptotic expansions. Moreover, in a special case, full asymptotic expansions can be given which even hold as identities. This will be proved by a combinatorial approach and systematic ways of computing all coefficients of these identities will be discussed as well.
Relation:	Taiwanese J. Math., Vol.24, No.6, pp.1353 - 1382
Data Type:	article
DOI link:	https://doi.org/10.11650/tjm/200503
DOI:	10.11650/tjm/200503
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

Files in This Item:

File	Description	Size	Format
229.pdf		379Kb	Adobe PDF2	135	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...