论文标题
Onicescu的信息能量和相关系数的注释
A note on Onicescu's informational energy and correlation coefficient in exponential families
论文作者
论文摘要
OnICECU的信息能量是一个正数,可测量随机变量的不确定性量。但与香农的熵相反,当随机性降低时,信息能量会增加。我们报告了OnICESCU的信息能量及其相关的相关系数的封闭式公式,当概率分布属于指数族时。我们展示了如何实例化几个常见指数家庭的通用公式。
The informational energy of Onicescu is a positive quantity that measures the amount of uncertainty of a random variable. But contrary to Shannon's entropy, the informational energy increases when randomness decreases. We report closed-form formula for Onicescu's informational energy and its associated correlation coefficient when the probability distributions belong to an exponential family. We show how to instantiate the generic formula for several common exponential families.