Uniqueness of Inflection Points in Binomial Exceedance Function Compositions

Srinivas Arigapudi, Yuval Heller and Amnon Schreiber

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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.

Date: 2025-07
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