10 citations · 34 across the 19 of their papers we have counts for
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math.PR2016★ 5 cited
Lower bounds on binomial and Poisson tails: an approach via tail conditional expectations
Christos Pelekis
We derive upper bounds on the tail conditional expectation of binomial and Poisson random variables. Those upper bounds are subsequently employed to the problem of obtaining non-as…
math.PR2016
A lower bound on the probability that a binomial random variable is exceeding its mean
Christos Pelekis, Jan Ramon
We provide a lower bound on the probability that a binomial random variable is exceeding its mean. Our proof employs estimates on the mean absolute deviation and the tail condition…