研究生: |
劉茂村 |
---|---|
論文名稱: |
逐次概似比檢定之參數最佳化 The Search of Optimal Parameters for Sequential Probability Ratio Test |
指導教授: | 許文郁 |
口試委員: |
吳宏達
胡毓彬 |
學位類別: |
碩士 Master |
系所名稱: |
理學院 - 統計學研究所 Institute of Statistics |
論文出版年: | 2014 |
畢業學年度: | 102 |
語文別: | 中文 |
論文頁數: | 33 |
中文關鍵詞: | 統計製程管制 、逐次概似比檢定 、管制圖 、期望值偏誤 、平均連串長度 |
相關次數: | 點閱:2 下載:0 |
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本文主要工作,是將逐次概似比檢定(Sequential Probability Ratio Test)應用在統計製程管制(Statistical Process Control)上。使用逐次概似比檢定時,觀察值會先透過一個函數轉換,使得逐次概似比檢定能夠有更好的檢定力,陳俊宇(2013)對逐次概似比檢定中的管制界限,以及轉換函數中的參數,以電腦模擬的方式,已經有初步的研究。本論文將以理論,探討管制界限的設定,以及轉換函數中參數的選取,使得逐次概似比檢定能有更好的檢定力。
Crowder, S. V. (1987a), ``A simple method for studying run-length distribution of exponentially weighted moving average chart". \emph{Technometrics}, Vol 29(4), 401-407.
Crowder, S. V. (1989), ``Design of exponentially weighted moving average schemes". \emph{Technometrics}, Vol 21(3), 155-162.
Huang Wei-Chen (2012), ``An exponentially weighted moving average control chart based on likelihood ratio test statistics for monitoring general linear profiles". \emph{Institute of statistic national Chiao Tung university, Hsinchu, Taiwan}
Lehmann, E. L. (1959) , \emph{Testing Statistical Hypotheses}, John Wiley and Sons, New York.
Lucas, J. M. and Saccucci, M. S. (1990), ``Exponentially weighted moving average control schemes: properties and enhancements". \emph{Technometrics}, Vol 32(1), 1-12.
Montgomery, D. C. (2009), \emph{Statistical Quality Control}, Wiley, New York.
Page, E. S. (1954), ``Continuous inspection schemes". \emph{Biometrika}, Vol 41(1), 100-115.
Page, E. S. (1954), ``Cumulative sum control chart". \emph{Technometrics}, Vol 3(1), 1-9.
Roberts, S. W. (1958), ``Control chart based on geometric moving average". \emph{Technometrics}, Vol 42(1), 97-102.
Steven, C. and Raymond P.(2009), ``Numerical Methods for Engineers".
Shewhart, W. A. (1931), \emph{Economic control of quality of manufactured product}, Van Nostrand, New York.
Siegmund, .D (1985) , \emph{Sequential Analysis}. Spring-Verlag, New York.
Stoumbos, Z. G., Reynolds, M. R., and Woodall, W. H. (2003) ,``Control chart schemes for monitoring the mean and variance of processes subject to sustained shifts and drifts". \emph{Handbook of statistics}, Vol. 22, 553-571. Ch13.