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研究生: 錢怡
Yi Chien
論文名稱: 伽瑪樣本全距之研究
on Gamma Sample Range
指導教授: 黃提源
Tea-Yuan Hwang
口試委員:
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: 2004
畢業學年度: 92
語文別: 中文
論文頁數: 39
中文關鍵詞: 伽瑪分配特徵性樣本全距樣本全距係數Xbar -管制圖R-管制圖
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  • 本論文主要導出:當隨機樣本來自伽瑪分配時,其樣本全距Rn之分配及其近似分配,同時亦求出其偏態係數與峰度以了解其分配之大概形狀。又利用伽瑪分配之特徵性,導出Rn*=Rn/Xbar 之近似分配,其中Xbar為樣本平均數,並求出其偏態係數及峰度以了解其分配之大概情形。最後,將上述之研究結果應用在品質管制圖上。


    1. 緒論……………………………………………………... 1 2. 樣本全距Rn之分配…...………………………………… 3 3. 樣本全距係數Rn*之分配………………………………. 16 4. 在品質管制圖的應用…………………………………... 22 5. 結論……………………………………………………... 37 參考文獻…………………………………………………….. 38

    1. Burr, I. W. (1967). The effect of nonnormality on constants for and R charts, Industrial Quality Control, 23, pp. 563-568.
    2. David, H.A. (1981). Order Statistics. New York: John Wiley & Sons.
    3. Hartley, H. O. (1945).Note on the calculation of the distribution of the estimate of mean deviation in normal samples. Tables of probability integral of the mean deviation in normal samples. Biometrika, 33, 257.
    4. Hwang T. Y. and Hu C. Y. (1999). On a characterization of the Gamma distribution:the independence of the sample mean and the sample coefficient of variation. Annals of the Institute of Statistics Mathematics, 51,749-753, Japan.
    5. Hwang T. Y. and Hu C. Y. (2000). On some characterizations of population distributions. Taiwan J. of Math., 4, 427-437.
    6. Hwang T. Y. and Huang P. H. (2002). On new moment estimation of parameters of the Gamma distribution using it’s characterization. Annals of the Institute of Statistics Mathematics, 54, 840-847, Japan.
    7. Huang P. H. and Hwang T.Y. (2003). The inference of Gini’s mean difference. Summitted to Statistics & Probability Letters.
    8. Hwang T.Y. and Huang P. H. (2004), On new moment estimation of parameters of the generalized Gamma distribution using it’s characterization. Summitted to Technometrics.
    9. Montgomery, D. C. (2001). Introduction to Statistical Quality Control. New York: John Wiley & Sons.
    10. Pearson E. S. (1926). A further note on the distribution of range in samples taken from a normal population. Biometrika, 18, 173.
    11. Pearson E. S. (1932). The percentage limits for the distribution of range in samples from a normal population. Biometrika, 24, 404.
    12. Schilling, E. G., and P. R. Nelson (1976). The effect of nonnormality on the control limits of charts. Journal of Quality Technology, 8, pp. 239-250.
    13. Tippet, L. H. C. (1925). On the extreme individuals and the range of samples taken from a normal population. Biometrika, 17, 364.

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