Deviations of discrete distributions and a question of Móri |
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Authors: | Kenneth S Berenhaut John V Baxley Robert G Lyday |
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Institution: | aWake Forest University, Department of Mathematics, Winston-Salem, NC 27109, United States |
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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. |
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Keywords: | MSC: 60E05 60E10 |
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