Uniqueness of Inflection Points in Binomial Exceedance Function Compositions

2025/07/29 by Arigapudi, Srinivas, Heller, Yuval, Schreiber, Amnon
#FOS: Economics and business #Theoretical Economics (econ.TH)

paper · doi:10.48550/arxiv.2507.22211

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.

Citations

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