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

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.

Disclosure

“n the logarithmic scale and the horizontal axis is scaled as log(1 + ν). Declaration of generative AI and AI-assisted technologies in the manuscript prepa- ration process: During the preparation of this work the authors used OpenAI (ChatGPT-5.5) and Microsoft Copilot (GPT-5 reasoning model) in order to debug and optimise code, improve the visualisation and format of figures, and revise the text. After using this tools, the authors reviewed and edited the content as ne”

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Classification

Rewriting existing author-written text

Multiplier

4

Verified

2026-08-23T19:04:59.738875Z

Structural counts