Accuracy of Approximation for Discrete Distributions

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....

Full description

Bibliographic Details
Main Author: Tamás F. Móri
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2016/6212567
id doaj-8fd75d1137814579af2e714114ab24a1
record_format Article
spelling doaj-8fd75d1137814579af2e714114ab24a12020-11-24T21:06:11ZengHindawi LimitedJournal of Probability and Statistics1687-952X1687-95382016-01-01201610.1155/2016/62125676212567Accuracy of Approximation for Discrete DistributionsTamás F. Móri0Department of Probability Theory and Statistics, Eötvös Loránd University, Pázmány P. s. 1/C, Budapest 1117, HungaryThe 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.http://dx.doi.org/10.1155/2016/6212567
collection DOAJ
language English
format Article
sources DOAJ
author Tamás F. Móri
spellingShingle Tamás F. Móri
Accuracy of Approximation for Discrete Distributions
Journal of Probability and Statistics
author_facet Tamás F. Móri
author_sort Tamás F. Móri
title Accuracy of Approximation for Discrete Distributions
title_short Accuracy of Approximation for Discrete Distributions
title_full Accuracy of Approximation for Discrete Distributions
title_fullStr Accuracy of Approximation for Discrete Distributions
title_full_unstemmed Accuracy of Approximation for Discrete Distributions
title_sort accuracy of approximation for discrete distributions
publisher Hindawi Limited
series Journal of Probability and Statistics
issn 1687-952X
1687-9538
publishDate 2016-01-01
description 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.
url http://dx.doi.org/10.1155/2016/6212567
work_keys_str_mv AT tamasfmori accuracyofapproximationfordiscretedistributions
_version_ 1716766480804085760

Similar Items