Accuracy of Approximation for Discrete Distributions

The paper is a contribution to the problem of estimating the deviation of two discrete probability distributions in terms of the supremum distance between their generating functions over the interval [0,1]. Deviation can be measured by the difference of the kth terms or by total variation distance....

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Bibliographic Details
Main Author: Tamás F. Móri
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2016/6212567
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Summary:The paper is a contribution to the problem of estimating the deviation of two discrete probability distributions in terms of the supremum distance between their generating functions over the interval [0,1]. Deviation can be measured by the difference of the kth terms or by total variation distance. Our new bounds have better order of magnitude than those proved previously, and they are even sharp in certain cases.
ISSN:1687-952X
1687-9538