Uniqueness of Inflection Points in Binomial Exceedance Function Compositions
Theoretical Economics
2025-07-31 v1
Abstract
We examine functions representing the cumulative probability of a binomial random variable exceeding a threshold, expressed in terms of the success probability per trial. These functions are known to exhibit a unique inflection point. We generalize this property to their compositions and highlight its applications.
Cite
@article{arxiv.2507.22211,
title = {Uniqueness of Inflection Points in Binomial Exceedance Function Compositions},
author = {Srinivas Arigapudi and Yuval Heller and Amnon Schreiber},
journal= {arXiv preprint arXiv:2507.22211},
year = {2025}
}