Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/135222
DC Field | Value | Language |
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dc.contributor | 應數系 | - |
dc.creator | 符麥克 | - |
dc.creator | Fuchs, Michael | - |
dc.creator | Kao, Louis | - |
dc.creator | Wu, Wan-Zhen | - |
dc.date | 2020-12 | - |
dc.date.accessioned | 2021-05-27T03:41:50Z | - |
dc.date.available | 2021-05-27T03:41:50Z | - |
dc.date.issued | 2021-05-27T03:41:50Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/135222 | - |
dc.description.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. | - |
dc.format.extent | 388969 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.relation | Taiwanese J. Math., Vol.24, No.6, pp.1353 - 1382 | - |
dc.subject | asymptotics ; displacement cost ; generating functions ; Laplace method ; sensor | - |
dc.title | On binomial and Poisson sums arising from the displacement of randomly placed sensors | - |
dc.type | article | - |
dc.identifier.doi | 10.11650/tjm/200503 | - |
dc.doi.uri | https://doi.org/10.11650/tjm/200503 | - |
item.fulltext | With Fulltext | - |
item.grantfulltext | restricted | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | 期刊論文 |
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