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arXiv · 2011.08683

Fisher Information of a Family of Generalized Normal Distributions

Precious Ugo Abara·Sandra Hirche
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Abstract

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 $\theta$. Although the uniform distribution in $[-\theta, + \theta]$ 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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Precious Ugo Abara, Sandra Hirche. 2020-11-17. Fisher Information of a Family of Generalized Normal Distributions. https://arxiv.org/abs/2011.08683

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