摘要
对于随机向量X不确定性的测度,提出了两种新的熵测度的广义类,把它们作为生存指数熵和广义生存指数熵.这些新的熵改进了Shannon熵,克服了Shannon熵的缺陷.生存熵定义了测度的广义类,它包含了累积剩余熵的特殊情形.研究了这两种熵的分析性质,证明了新熵的一些性质与Shannon熵和Rényi熵的性质相类似.
This paper proposes two new broad classes for measures of uncertainty of a random vector X. It refers to them as the survival exponential and the generalized survival exponential entropies. These new entropies improve Shannon entropy and overcome the drawbacks of Shannon entropy. Moreover, survival entropies define broad classes of measures that contain the cumulative residual entropy of a particular case. It studies two new entropies analytic properties. Several properties of the new survival entropies are also proved that Shannon and Rényi classic entropies have similar analogous properties.
出处
《华中师范大学学报(自然科学版)》
CAS
CSCD
2007年第4期493-496,共4页
Journal of Central China Normal University:Natural Sciences
基金
国家自然科学基金资助项目(60663003)
关键词
生存指数熵
广义生存指数熵
累积剩余熵
Shannon熵
Rényi熵
survival exponential entropy
generalized survival exponential entropy
cumulative residual entropy
Shannon entropy
Rényi entropy