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

Methodology 2022-10-11 v1 Information Theory math.IT Statistics Theory Statistics Theory

Abstract

This paper describes the Elliptical Quartic Exponential distribution in RD\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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Cite

@article{arxiv.2210.04221,
  title  = {The Elliptical Quartic Exponential Distribution: An Annular Distribution Obtained via Maximum Entropy},
  author = {Christopher K I Williams},
  journal= {arXiv preprint arXiv:2210.04221},
  year   = {2022}
}

Comments

6 pages, 1 figure

R2 v1 2026-06-28T03:05:30.530Z