Lorenz and convex ordering of parasite burden distributions with density-dependent deaths

Madison Carlton; Ross McVinish

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arXiv · 2607.21931

Lorenz and convex ordering of parasite burden distributions with density-dependent deaths

Madison Carlton·Ross McVinish

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Abstract

We establish a convex ordering result for count distributions arising from a parasite acquisition model with density-dependent deaths. If the ratio of two death-rate sequences is non-increasing, then the corresponding mean-parametrised distributions are ordered in the convex order. This yields, as a special case, the convex ordering of the mean-parametrised Conway-Maxwell-Poisson distribution in its dispersion parameter.

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Madison Carlton, Ross McVinish. 2026-07-24. Lorenz and convex ordering of parasite burden distributions with density-dependent deaths. https://arxiv.org/abs/2607.21931

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