| dc.contributor | 應數系 | - |
| dc.creator (作者) | 符麥克 | - |
| dc.creator (作者) | Fuchs, Michael | - |
| dc.creator (作者) | Kao, Louis | - |
| dc.creator (作者) | Wu, Wan-Zhen | - |
| dc.date (日期) | 2020-12 | - |
| dc.date.accessioned | 27-May-2021 11:41:50 (UTC+8) | - |
| dc.date.available | 27-May-2021 11:41:50 (UTC+8) | - |
| dc.date.issued (上傳時間) | 27-May-2021 11:41:50 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/135222 | - |
| dc.description.abstract (摘要) | 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. | - |
| dc.format.extent | 388969 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | Taiwanese J. Math., Vol.24, No.6, pp.1353 - 1382 | - |
| dc.subject (關鍵詞) | asymptotics ; displacement cost ; generating functions ; Laplace method ; sensor | - |
| dc.title (題名) | On binomial and Poisson sums arising from the displacement of randomly placed sensors | - |
| dc.type (資料類型) | article | - |
| dc.identifier.doi (DOI) | 10.11650/tjm/200503 | - |
| dc.doi.uri (DOI) | https://doi.org/10.11650/tjm/200503 | - |
