淡江大學機構典藏:Item 987654321/122611
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    題名: Nonparametric control chart using auxiliary information for smallest extreme value distribution
    作者: Tsai, Tzong-Ru;Hung, C-M;Lio, Y. L.;Chiang, J-Y;Ng, H. K. T.
    關鍵詞: Average run length;exponential weighted moving average;Hotelling T2 control chart;maximum likelihood estimation;multivariate sign exponential weighted moving average
    日期: 2021-10-16
    上傳時間: 2022-03-23 12:11:39 (UTC+8)
    摘要: Traditionally, in using an auxiliary variable for quality control applications, the response and auxiliary variables are often assumed to follow a bivariate normal distribution. Given that the response variable and an auxiliary variable are linearly related, a novel process monitoring method is proposed to scrutinize the shifts of the model parameter when the response and auxiliary variables follow the smallest extreme value distributions. Utilizing the estimates of the model parameters as input variables, auxiliary information based (AIB) multivariate sign exponential weighted moving average (AIB-MSEWMA) control chart is proposed. Because the AIB-MSEWMA control chart doesn’t require the multivariate normality distribution assumption for the estimators of model parameters, the AIB-MSEWMA control chart is more reliable than the competitors of the AIB-Hotelling T2 and AIB multivariate EWMA control charts in terms of the false alarm rate. Finally, the operation of the AIB-MSEWMA control chart is illustrated through a regenerated data set of the car brake system.
    關聯: Journal of Statistical Computation and Simulation 92(6), p.1175-1193
    DOI: 10.1080/00949655.2021.1989431
    顯示於類別:[統計學系暨研究所] 期刊論文

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