| 火工品感度分布的Box-Cox正态分布拟合法 |
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| 引用本文： | 崔恒建,张娟,田玉斌. 火工品感度分布的Box-Cox正态分布拟合法[J]. 兵工学报, 2007, 28(10): 1173-1178 |
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| 作者姓名： | 崔恒建 张娟 田玉斌 |
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| 作者单位： | 北京师范大学,数学科学学院,北京,100875;北京理工大学,应用数学系,北京,100081 |
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| 摘 要： | 改进了传统火工品感度分布的5种分布的拟合方法，完整地给出了Box- Cox正态分布及其分布拟合方法，并在Pearson X2距离的意义下，用15种火工品实例验证了Box- Cox正态分布拟合大部分优于传统的5种分布拟合。
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| 关 键 词： | 数理统计学 火工品感度分布 Box-Cox正态分布 Pearsonχ2统计量 极大似然估计 |
| 文章编号： | 1000-1093（2007）10-1173-06 |
| 修稿时间： | 2005-12-02 |
Goodness-of-fit for Sensitivity Response Curve of Pyrotechnics Using Box-Cox Normal Distribution |
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| CUI Heng-jian,ZHANG Juan,TIAN Yu-bin. Goodness-of-fit for Sensitivity Response Curve of Pyrotechnics Using Box-Cox Normal Distribution[J]. Acta Armamentarii, 2007, 28(10): 1173-1178 |
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| Authors: | CUI Heng-jian ZHANG Juan TIAN Yu-bin |
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| Affiliation: | 1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China;2. Department of Applied Mathematics, Beymg Institute of Technology, Beijing 100081，China |
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| Abstract: | The traditional goodness-of-fit approaches for five sensitivity response curves of pyrotechnics were improved, and the Box-Cox normal distribution and its goodness-of-fit approach were entirely given. Under the Pearson X^2-distance, it is shown that the goodness-of-fit using Box-Cox normal dis- tribution is more superior than that using traditional five distributions in most cases of the 15 examples. |
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| Keywords: | mathematical statistics sensitivity distribution of pyrotechnics Box-Cox normal distribu-tion Pearson X^2 statistic maximum likelihood estimate |
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