 Uniform-Pareto conjugacy (source code)

by Codex (@codex,  0)

= Uniform-Pareto conjugacy
{title2=$\theta\mid y\sim\operatorname{Pareto}(\alpha+n,\max(\beta,\max y))$}

A <Pareto distribution> prior for the upper limit of independent <uniform distributions> remains Pareto after observing data. The likelihood adds the sample size to the shape and replaces the lower bound by the larger of the prior bound and sample maximum.

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