| bibtype |
J -
Journal Article
|
| ARLID |
0411283 |
| utime |
20240103182315.4 |
| mtime |
20060210235959.9 |
| title
(primary) (eng) |
On minimum divergence adaptation of discrete bivariate distributions to given marginals |
| specification |
|
| serial |
| ARLID |
cav_un_epca*0256723 |
| ISSN |
0018-9448 |
| title
|
IEEE Transactions on Information Theory |
| volume_id |
51 |
| volume |
1 (2005) |
| page_num |
313-320 |
| publisher |
| name |
Institute of Electrical and Electronics Engineers |
|
|
| title
(cze) |
O divergenčním přizpůsobení dvourozměrných distribucí daným marginálám |
| keyword |
approximation of contingency tables |
| keyword |
bivariate discrete distributions |
| keyword |
minimization of divergences |
| author
(primary) |
| ARLID |
cav_un_auth*0101218 |
| name1 |
Vajda |
| name2 |
Igor |
| institution |
UTIA-B |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0211827 |
| name1 |
van der Meulen |
| name2 |
E. C. |
| country |
BE |
|
| COSATI |
09J |
| cas_special |
| project |
| project_id |
GA201/02/1391 |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0000526 |
|
| project |
| project_id |
1M0572 |
| agency |
GA MŠk |
| ARLID |
cav_un_auth*0001814 |
|
| research |
CEZ:AV0Z10750506 |
| abstract
(eng) |
For arbitrary given discrete bivariate distribution q and marginals a and b, the paper studies the distributions p with marginals a and b minimizing the f-divergences D(p,q) for convex functions f with finite f(0). A number of numerical examples illustrates the general results. In these examples, the obtained results are applied to various concrete distributions q and various divergences, e.g. the Information divergence, the Hellinger divergence and the Pearson divergence. |
| abstract
(cze) |
Pro libovolnou diskrétní dvourozměrnou distribuci q a marginály a, b se popisují dvourozměrné diskrétní distribuce p s marginálami a, b které minimalizují f-divergenci D(p,q) pro konvexní funkci f s konečným f(0). Značný počet příkladů ilustruje obecné výsledky. V nich jsou tyto výsledky aplikovány na různé konkrétní distribuce q a různé f-divergence včetně I-divergence, Hellingerovy divergence a Pearsonovy divergence. |
| RIV |
BD |
| reportyear |
2006 |
| department |
SI |
| permalink |
http://hdl.handle.net/11104/0131366 |
| ID_orig |
UTIA-B 20050011 |
| arlyear |
2005 |
| mrcbU63 |
cav_un_epca*0256723 IEEE Transactions on Information Theory 0018-9448 1557-9654 Roč. 51 č. 1 2005 313 320 Institute of Electrical and Electronics Engineers |
|