2 citations · 3 across the 4 of their papers we have counts for
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Some inequalities on Binomial and Poisson probabilities
Robbert Fokkink, Symeon Papavassiliou, Christos Pelekis
Let and be independent random variables, assuming values in the set of non-negative integers, and suppose further that both and are integers…
Optimizing stakes in simultaneous bets
Robbert Fokkink, Ludolf Meester, Christos Pelekis
We want to find the convex combination of iid Bernoulli random variables that maximizes for a given threshold~. Csóka conjectured that such an is a…
On the Shannon entropy of the number of vertices with zero in-degree in randomly oriented hypergraphs
Christos Pelekis
Suppose that you have colours and mutually independent dice, each of which has sides. Each dice lands on any of its sides with equal probability. You may colour the sid…
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…