| 多维指数分布模型 |
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| 引用本文： | 彭江艳,何平.多维指数分布模型[J].数学的实践与认识,2004,34(7):102-106. |
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| 作者姓名： | 彭江艳 何平 |
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| 作者单位： | 1. 电子科技大学应用数学学院,四川,成都,610054
2. 西南交通大学应用数学系,四川,成都,610031 |
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| 摘 要： | 运用 Marshall-Olkin推导二维指数分布的思路 ,提出七个相互独立冲击源的冲击模型 ,构造了三维指数分布 .鉴于该方法分析过程繁琐 ,难于推广到高维情形 .文中另辟溪径 ,利用作者已建立的多维失效率与分布密度函数间的关系 ,并结合致命冲击的含义 ,得到三维乃至一般的 n维指数分布 .
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| 关 键 词： | 冲击模型 指数分布 失效率 |
| 修稿时间： | 2003年7月12日 |
Multivariate Exponential Distribution Model |
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| PENG Jiang-yan,HE Ping.Multivariate Exponential Distribution Model[J].Mathematics in Practice and Theory,2004,34(7):102-106. |
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| Authors: | PENG Jiang-yan HE Ping |
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| Institution: | PENG Jiang-yan1,HE Ping2 |
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| Abstract: | Applying the thought of Marshall-olkin bivariate exponential distribution, we put forward the shock model with seven individually dependent shock sources to structure three-dimensional exponential distribution. Seeing that the analysis process is loaded down with trivial details and difficultly extended in multivariate case. However, taking advantage of relation between multivariate failure rate and distribution density function built by the author, we combine the meaning of the fatal shock model to obtain three-dimensional and even n-dimensional exponential distribution. |
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| Keywords: | shock model exponential distribution failure rate |
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