| X控制图的两类误判概率及其计算 |
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| 引用本文： | 章德,屠俊如.X控制图的两类误判概率及其计算[J].南京大学学报(自然科学版),1988(2). |
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| 作者姓名： | 章德 屠俊如 |
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| 作者单位： | 南京大学管理系，南京大学计算中心 |
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| 摘 要： | 本文提出了控制图的两类误判概率的概念,並给出了它们在头十点的逐点计算公式及相应的值。在进行上述讨论时,我们把所有的判别规则看作一个整体,同时也把从第一点开始的各点也看作一整体来加以考虑。此外,文中还对头50个点的两类误判概率作了模拟计算。这些计算出来的值可以作为使用控制图时的可靠性指标。同时,所有这些讨论对研究、补充或修改现行的判别规则将是有益的。
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| 关 键 词： | 控制图 两类误判概率 点子排列有缺陷 |
THE PROBABILITIES OF TWO ERROR TYPES ABOUT THE (?) CONTROL CHART AND THEIR COMPUTATION |
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| Zhang De.THE PROBABILITIES OF TWO ERROR TYPES ABOUT THE (?) CONTROL CHART AND THEIR COMPUTATION[J].Journal of Nanjing University: Nat Sci Ed,1988(2). |
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| Authors: | Zhang De |
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| Institution: | Zhang De (Department of Management)Tu Junrn (Computing Centre) |
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| Abstract: | In this paper, the probabilities of two error types about the X control chart are presented and for each of the first ten points, their theoretical calculative formulas and corresponding values are given. In the discussion, all the decisive rules are considered as a whole and so are all the points even they are counting from the first one. furthermore,the results of random simulation for the fifth points are also computed. These computed values can be regarded as some scales of reliability when the X control chart is used. Meanwhile, the entire discussion will be helpful for further studying or complementing or modifying the decisive rules |
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