| 一类积分及其在计算熵中的应用 |
| |
| 引用本文： | 胡宏昌,张忠祥. 一类积分及其在计算熵中的应用[J]. 数学杂志, 2005, 25(6): 605-610 |
| |
| 作者姓名： | 胡宏昌 张忠祥 |
| |
| 作者单位： | 1. 武汉大学数学与统计学院,湖北,武汉,430072;湖北师范学院数学系,湖北,黄石,435002
2. 武汉大学数学与统计学院,湖北,武汉,430072 |
| |
| 基金项目： | Supported by National Natural Science Fund ation of China（No. 40274005） ; Educational Fundation Department Grand Fundation of Hubei Province （2004Z001） |
| |
| 摘 要： | 本文利用含参量非奇异积分的可微性定理,得到了形如^b∫a f（x）lnxdx的两个积分公式,并利用它们计算了几种分布的熵,从而说明了公式的实用性。
|
| 关 键 词： | 积分 熵 t分布 x^2分布 F分布 P-范分布 |
| 文章编号： | 0255-7797（2005）06-0605-06 |
| 收稿时间： | 2003-09-05 |
| 修稿时间： | 2003-09-05 |
A CLASS OF INTEGRALS AND THEIR APPLICATION IN CALCULATING ENTROPY |
| |
| HU Hong-chang,ZHANG Zhong-xiang. A CLASS OF INTEGRALS AND THEIR APPLICATION IN CALCULATING ENTROPY[J]. Journal of Mathematics, 2005, 25(6): 605-610 |
| |
| Authors: | HU Hong-chang ZHANG Zhong-xiang |
| |
| Affiliation: | School of Math. and Statistics, Wuhan University, Wuhan 430072, China;Dept. of Math. , Hubei Normal University, Huangshi 435002,China; School of Math. and Statistics, Wuhan University, Wuhan 430072, China |
| |
| Abstract: | By using differentiable theorem of singular integral with parameter,two formulas of the sort integral like b∫af(x)lnxdx are provided in this paper. As their applications, these formulas are used in the calculation of the entropies of some stochastic variables met with frequently, and then availability of these formulas is illuminated. |
| |
| Keywords: | Integral Entropy Student distribution x^2 distribution F distribution p-norm distribution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
