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Uniqueness of Inflection Points in Binomial Exceedance Function Compositions

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  • Srinivas Arigapudi
  • Yuval Heller
  • Amnon Schreiber

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.

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  • Srinivas Arigapudi & Yuval Heller & Amnon Schreiber, 2025. "Uniqueness of Inflection Points in Binomial Exceedance Function Compositions," Papers 2507.22211, arXiv.org.
    • Handle: RePEc:arx:papers:2507.22211
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    File URL: http://arxiv.org/pdf/2507.22211
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