系統識別號 | U0002-1807201420340700 |
---|---|
DOI | 10.6846/TKU.2014.00681 |
論文名稱(中文) | 圓周上連續間隔總和的極值之分配 |
論文名稱(英文) | The Distribution of the Extremes of Sums of Consecutive Spacings on a Circle |
第三語言論文名稱 | |
校院名稱 | 淡江大學 |
系所名稱(中文) | 數學學系碩士班 |
系所名稱(英文) | Department of Mathematics |
外國學位學校名稱 | |
外國學位學院名稱 | |
外國學位研究所名稱 | |
學年度 | 102 |
學期 | 2 |
出版年 | 103 |
研究生(中文) | 呂崇道 |
研究生(英文) | Chung-Tao Lu |
學號 | 601190266 |
學位類別 | 碩士 |
語言別 | 英文 |
第二語言別 | |
口試日期 | 2014-06-24 |
論文頁數 | 22頁 |
口試委員 |
指導教授
-
林千代
委員 - 蔡志群 委員 - 彭健育 |
關鍵字(中) |
圓形的掃描統計 間距符號 計算 |
關鍵字(英) |
Circular Scan Statistic Spacings Symbolic Computation |
第三語言關鍵字 | |
學科別分類 | |
中文摘要 |
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。 |
英文摘要 |
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. |
第三語言摘要 | |
論文目次 |
1 Introduction 1 2 Recursions and Basic Properties 2 3 The Algorithm 5 4 Illustrative Example 8 5 Special Results 13 5.1 Explicit Expression for {A}1 ..............14 5.2 Explicit Expression for {A}2 ..............16 6 Concluding Remarks 17 References 18 Appendix 21 |
參考文獻 |
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