A lower bound on the probability that a binomial random variable is\n exceeding its mean

2016/04/21 by Christos Pelekis, Jan Ramon, Pelekis, Christos +1 · 1 citation
Decision Sciences · Economics, Econometrics and Finance · #FOS: Mathematics #Financial Risk and Volatility Modeling #Probability (math.PR) #Probability and Risk Models #Risk and Portfolio Optimization

paper · pdf · doi:10.48550/arxiv.1604.06283

openalex publication_date 2016/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a lower bound on the probability that a binomial random variable\nis exceeding its mean. Our proof employs estimates on the mean absolute\ndeviation and the tail conditional expectation of binomial random variables.\n

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