Deviations of discrete distributions and a question of Móri

Kenneth S. Berenhaut, John V. Baxley and Robert G. Lyday

Statistics & Probability Letters, 2011, vol. 81, issue 12, 1940-1944

Abstract: 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.

Keywords: Probability generating functions; Discrete distributions; Chebyshev polynomials (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1016/j.spl.2011.06.019

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