Deviations of discrete distributions and a question of Móri

نویسندگان

  • Kenneth S. Berenhaut
  • John V. Baxley
  • Robert G. Lyday
چکیده

In this note, we consider a question of Móri regarding estimating the deviation of the kth terms of two discrete probability distributions in terms of the supremum distance between their generating functions over the interval [0, 1]. An optimal bound for distributions on finite support is obtained. Properties of Chebyshev polynomials are employed.

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تاریخ انتشار 2011