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 系統識別號 U0002-1907201615291200 中文論文名稱 可靠度建模：指數線性組合的比率之分配 英文論文名稱 Reliability Modelling: Distributions of the Ratios of Linear Combinations of Exponential Variates 校院名稱 淡江大學 系所名稱(中) 數學學系碩士班 系所名稱(英) Department of Mathematics 學年度 104 學期 2 出版年 105 研究生中文姓名 李盈臻 研究生英文姓名 Ying-Chen Lee 學號 603190132 學位類別 碩士 語文別 英文 口試日期 2016-06-17 論文頁數 25頁 口試委員 指導教授-林千代委員-陳麗霞委員-吳碩傑 中文關鍵字 臨界值  離群值檢定  指數分配  間隔  使用者介面 英文關鍵字 Critical Values  Discordancy Test  Exponential distribution  spacings  user interface 學科別分類 學科別＞自然科學＞數學 中文摘要 我們利用Maple數學軟體中的maplet應用程序發展出一套使用者介面mTEXO來檢測指數分配資料中的較大或較小離群值。不同於傳統的計算方法需要花很多時間來做積分與組合代數的運算, 我們則利用Huffer and Lin (2001)的演算法先將文獻知名的指數資料離群值的統計量之分配算出, 再用mTEXO將所算出的結果呈現出來。 英文摘要 We develop a user-interface package mTEXO in the maplet application for testing exponential upper and/or lower outliers. 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