| 独立同均匀分布随机变量和的高阶矩的计算 |
| |
| 引用本文： | 李金秋.独立同均匀分布随机变量和的高阶矩的计算[J].科学技术与工程,2012,12(23):5847-5849. |
| |
| 作者姓名： | 李金秋 |
| |
| 作者单位： | 辽宁石油化工大学 |
| |
| 摘 要： | 考虑到均匀分布与随机变量和的高阶矩的重要性,利用组合数学中的多项式定理和第二类Stirling数对独立同U(0,1)随机变量和的高阶矩进行了计算,得到了相应的计算公式。并以此为基础利用二项式定理,得到了独立同U(a,b)随机变量和的高阶矩的计算公式。最后给出了计算实例。
|
| 关 键 词： | 均匀分布 第二类Stirling数 高阶矩 多项式定理 |
| 收稿时间： | 4/26/2012 5:05:16 PM |
| 修稿时间： | 4/26/2012 5:05:16 PM |
Computation of Higher-order Moment of Sum of Independent and Identically Distributed Uniform Random Variables |
| |
| lijinqiu.Computation of Higher-order Moment of Sum of Independent and Identically Distributed Uniform Random Variables[J].Science Technology and Engineering,2012,12(23):5847-5849. |
| |
| Authors: | lijinqiu |
| |
| Institution: | LI Jin-qiu(School of Science,Liaoning Shihua University,Fushun 113001,P.R.China) |
| |
| Abstract: | Considering the importance of uniform distribution and the higher-order moment of sum of random variables, the higher-order moment of sum of i.i.d U(0,1) random variables is computed by multinomial theorem and Stirling number of the second kind in combinatorics. The computational formula is got. Base on this formula and binomial theorem, the formula of the higher-moment of sum of i.i.d U(a,b) random variables is got. At last, some examples are given. |
| |
| Keywords: | uniform distribution Stirling number of the second kind higher-order moment multinomial theorem |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《科学技术与工程》浏览原始摘要信息 |
| 点击此处可从《科学技术与工程》下载免费的PDF全文 |
