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arXiv · 2210.04221

The Elliptical Quartic Exponential Distribution: An Annular Distribution Obtained via Maximum Entropy

Christopher K I Williams
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Abstract

This paper describes the Elliptical Quartic Exponential distribution in $\mathbb{R}^D$, obtained via a maximum entropy construction by imposing second and fourth moment constraints. I discuss relationships to related work, analytical expressions for the normalization constant and the entropy, and the conditional and marginal distributions.

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Christopher K I Williams. 2022-10-09. The Elliptical Quartic Exponential Distribution: An Annular Distribution Obtained via Maximum Entropy. https://arxiv.org/abs/2210.04221

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