| 相依结构熵及联合熵的分解 |
| |
| 引用本文： | 易文德,王沁. 相依结构熵及联合熵的分解[J]. 西南大学学报, 2010, 32(1) |
| |
| 作者姓名： | 易文德 王沁 |
| |
| 作者单位： | 易文德(重庆文理学院数学与统计学院,重庆,永川,402160);王沁(西南交通大学理学院,成都,610031) |
| |
| 基金项目： | 教育部人文社科项目基金资助项目，重庆市教委科研资助项目 |
| |
| 摘 要： | 把Copula函数引入熵理论,并定义了相依结构熵来度量随机变量之间的相依结构,计论了二维随机向量在单调变换下相依结构熵的不变性并推广到多维的情形.Abstract：The copula functions are employed to study the entropy theory and a conception of dependence structure entropy is defined for measuring the dependence structure of random variables.The joint entropy is divided into the dependence structure entropy and the marginal entropy,which is useful of investigating the dependence structure of random variables.In addition,the invariability of dependence structure entro-py of bivariate variables under monotonous transforming is discussed and extended to muhivariable cases.
|
| 关 键 词： | 联合熵 相依结构熵 边缘熵 Copula函数 |
Dependence Structure Entropy and the Decomposition of Joint Entropy |
| |
| Abstract: | |
| |
| Keywords: | |
| 本文献已被 万方数据 等数据库收录！ |
|
