| 一个柔性边界条件约束下的随机变量的分布 |
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| 引用本文： | 陈汉栋,乔宇.一个柔性边界条件约束下的随机变量的分布[J].应用数学和力学,2006,27(3):281-284. |
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| 作者姓名： | 陈汉栋 乔宇 |
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| 作者单位： | 斯坦福大学 应用物理系,斯坦福 1CA94305,美国;2.阿克伦大学 土木工程系,阿克伦 1OH44325_3905,美国 |
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| 摘 要： | 讨论n个受柔性边界条件约束的随机变量的概率分布．理论解显示其概率密度函数随变量值增大而减小，当n趋於无穷大时收敛于Delta函数．在有序统计的理论框架下，同时得到最小值分布的解析解．
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| 关 键 词： | 柔性边界条件 受约束随机变量 概率密度 有序统计 |
| 文章编号： | 1000-0887（2006）03-0281-04 |
| 收稿时间： | 2005-03-10 |
| 修稿时间： | 2005-10-18 |
Distribution of Random Elements Subjected to a Flexible Boundary Condition |
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| CHEN Han-dong,QIAO Yu.Distribution of Random Elements Subjected to a Flexible Boundary Condition[J].Applied Mathematics and Mechanics,2006,27(3):281-284. |
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| Authors: | CHEN Han-dong QIAO Yu |
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| Institution: | Department of Applied Physics, Stanford University, Stanford, CA 94305, USA; |
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| Abstract: | The probability distribution function of n random elements subjected to the flexible boundary condition was derived. The probability density is a descending curve and converges to a delta function as n tends to infinity. The distribution of the minimum value was discussed in context of ordered statistics. |
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| Keywords: | flexible boundary condition constrained random element probability density ordered statistics |
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