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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/102153

    Title: The distribution of the extremes of sums of consecutive spacings on a circle
    Other Titles: 圓周上連續間隔總和的極值之分配
    Authors: 呂崇道;Lu, Chung-Tao
    Contributors: 淡江大學數學學系碩士班
    Keywords: 圓形的掃描統計;間距符號;計算;Circular Scan Statistic;Spacings;Symbolic Computation
    Date: 2014
    Issue Date: 2015-05-04 09:48:45 (UTC+8)
    Abstract:   根據Huffer (1988)和Huffer and Lin (1997, 2001)所提出的遞迴關係式,我們發展出幾個特殊的演算法來計算圓周上重疊連續間隔的線性組合之聯合機率分布。我們所提出的演算法可以應用來推算多重覆蓋與掃描統計量的機率。
    Based on the recursions in Huffer (1988) and Huffer and Lin (2001), and the marking algorithm in Huffer and Lin (1997), some specialized algorithms are developed.Our approach can evaluate the probabilities involving the joint distribution of overlapping sums of consecutive spacings on a circle. Application to the distribution of circular scan statistic and multiple coverage probabilities are discussed.
    Appears in Collections:[數學學系暨研究所] 學位論文

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