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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/135222
    Please use this identifier to cite or link to this item: http://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: 2020-05
    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 連結: https://doi.org/10.11650/tjm/200503
    DOI: 10.11650/tjm/200503
    Appears in Collections:[應用數學系] 期刊論文

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