most citedOn the rate of convergence of Krasnoselski-Mann iterations and their connection with sums of Bernoullis

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math.PR2008★ 9 cited

A sharp uniform bound for the distribution of sums of Bernoulli trials

Jean-Bernard Baillon, Roberto Cominetti, José Vaisman

In this note we establish a uniform bound for the distribution of a sum of independent non-homogeneous Bernoulli trials. Specifically, we prove that $σ_n \math…