论文标题

Fisher的一家普遍分布家族的信息

Fisher Information of a Family of Generalized Normal Distributions

论文作者

Abara, Precious Ugo, Hirche, Sandra

论文摘要

在此简短说明中,我们计算了普遍正常分布家族的渔民信息。 Fisher信息通常定义为常规分布,即支持不取决于家庭参数$θ$的连续可区分(log)密度函数。尽管作为我们结果的特殊情况,尽管$ [-θ, +θ] $中的均匀分布不能满足规律性要求,但我们将为该家族获得Fisher信息。

In this brief note we compute the Fisher information of a family of generalized normal distributions. Fisher information is usually defined for regular distributions, i.e. continuously differentiable (log) density functions whose support does not depend on the family parameter $θ$. Although the uniform distribution in $[-θ, + θ]$ does not satisfy the regularity requirements, as a special case of our result, we will obtain the Fisher information for this family.

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