On monotonicity of Ramanujan function for binomial random variables

Daniil Dmitriev and Maksim Zhukovskii

Statistics & Probability Letters, 2021, vol. 177, issue C

Abstract: For a binomial random variable ξ with parameters n and b∕n, it is well known that the median equals b when b is an integer. In 1968, Jogdeo and Samuels studied the behaviour of the relative difference between P(ξ=b) and 1∕2−P(ξKeywords: Ramanujan function; Monotonicity; Binomial distribution; Poisson distribution (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.spl.2021.109147

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