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....
Saved in:
| Main Author: | |
|---|---|
| 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 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849400267961794560 |
|---|---|
| author | Tamás F. Móri |
| author_facet | Tamás F. Móri |
| author_sort | Tamás F. Móri |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-8fd75d1137814579af2e714114ab24a1 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-8fd75d1137814579af2e714114ab24a12025-08-20T03:38:08ZengWileyJournal 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 |
| spellingShingle | Tamás F. Móri Accuracy of Approximation for Discrete Distributions Journal of Probability and Statistics |
| title | 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_short | Accuracy of Approximation for Discrete Distributions |
| title_sort | accuracy of approximation for discrete distributions |
| url | http://dx.doi.org/10.1155/2016/6212567 |
| work_keys_str_mv | AT tamasfmori accuracyofapproximationfordiscretedistributions |