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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. The distributions of some well-known test statistics for exponential outliers in the literature can be easily evaluated using mTEXO, which saves a lot of computational time on the integrations and combinatorial algebra in the traditional approach
論文目次 1 Introduction 1
2 The Distribution of Test Statistics 4
3 Tests for Exponiential Outliers in Maple using mTEXO 9
3.1 Overview of mTEXO functionality 9
3.2 mTEXO Interface and Functions 9
3.3 Calculating the Tail Probabilities 9
3.4 Application with Real Data 10
4 Conclusion and future development 14
References 14
Appendix 19
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