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Uniqueness of Inflection Points in Binomial Exceedance Function Compositions

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2507.22211

Authors: Arigapudi, Srinivas, Heller, Yuval, Schreiber, Amnon

Language: English

Topic: Probability and Statistical Research

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6891935018

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