  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.
