# Discussion of “A Gibbs Sampler for a Class of Random Convex Polytopes”

```@article{Diaconis2021DiscussionO,
title={Discussion of “A Gibbs Sampler for a Class of Random Convex Polytopes”},
author={Persi Diaconis and Guanyang Wang},
journal={Journal of the American Statistical Association},
year={2021},
volume={116},
pages={1193 - 1195}
}```
• P. Diaconis, Guanyang Wang
• Published 15 April 2021
• Mathematics
• Journal of the American Statistical Association
The paper offers answers to these questions by proposing a Gibbs sampler to perform statistical inference for categorical distributions using the Dempster-Shafer approach. To be precise, let x = (xi) N i=1 be the observations, each comes from one of the K categories. The model assumes that there exists a θ = (θ1, · · · , θK) in the K−simplex ∆ := {(θ1, θ2, · · · , θK) : θi ≥ 0 for every i, ∑K i=1 θi = 1} such that P(xi = k) = θk for every i, k. Moreover, it is assumed that the observations x…

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