• A Sharp Uniform Bound for the Distribution of Sums of Bernoulli Trials 

      Baillon, Jean-Bernard; Cominetti Cotticometti, Roberto; Vaisman Romero, José (Cambridge Univ. Press., 2016)
      In this note we establish a uniform bound for the distribution of a sum S-n = X-1 + ... + X-n of independent non-homogeneous Bernoulli trials. Specifically, we prove that sigma P-n(S-n = j) <= eta, where sigma(n) denotes ...