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

Bruce Levin; Erik Learned-Miller

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arXiv · 2311.02763

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

Bruce Levin·Erik Learned-Miller

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Abstract

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.

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Bruce Levin, Erik Learned-Miller. 2023-11-05. Log-Concavity of Multinomial Likelihood Functions Under Interval Censoring Constraints on Frequencies or Their Partial Sums. https://arxiv.org/abs/2311.02763

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