# Log-Concavity of Multinomial Likelihood Functions Under Interval Censoring Constraints on Frequencies or Their Partial Sums

arXiv: https://arxiv.org/abs/2311.02763 · HTML: https://mlsanity.com/paper/2311.02763/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 1 of its 5 references that are in the map.
- First posted on arXiv 5 Nov 2023.

## Builds on (most cited first, 1 of 1)

- [Log-Concave Polynomials I: Entropy and a Deterministic Approximation Algorithm for Counting Bases of Matroids](https://mlsanity.com/paper/1807.00929/) (2018)

## Abstract (arXiv)

We show that the likelihood function for a multinomial vector observed under arbitrary interval censoring constraints on the frequencies or their partial sums is completely log-concave by proving that the constrained sample spaces comprise M-convex subsets of the discrete simplex.