| bibtype |
J -
Journal Article
|
| ARLID |
0411370 |
| utime |
20240903170412.3 |
| mtime |
20060210235959.9 |
| title
(primary) (eng) |
Closures of exponential families |
| specification |
|
| serial |
| ARLID |
cav_un_epca*0250815 |
| ISSN |
0091-1798 |
| title
|
Annals of Probability |
| volume_id |
33 |
| volume |
2 (2005) |
| page_num |
582-600 |
| publisher |
| name |
Institute of Mathematical Statistics |
|
|
| title
(cze) |
Uzávěry exponenciálních rodin |
| keyword |
accessible face |
| keyword |
convex core |
| keyword |
information divergence |
| author
(primary) |
| ARLID |
cav_un_auth*0015571 |
| name1 |
Csiszár |
| name2 |
I. |
| country |
HU |
|
| author
|
| ARLID |
cav_un_auth*0101161 |
| name1 |
Matúš |
| name2 |
František |
| institution |
UTIA-B |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| COSATI |
12A |
| cas_special |
| project |
| project_id |
IAA1075104 |
| agency |
GA AV ČR |
| ARLID |
cav_un_auth*0001799 |
|
| research |
CEZ:AV0Z10750506 |
| abstract
(eng) |
The variation distance closure of an exponential family with a convex set of canonical parameters is described, not assuming any regularity conditions. The tools are the concepts of convex core of a measure and extension of an exponential family the authors introduced previously, and a new concept of accessible faces of a convex set. Two other closures related to the information divergence are also characterized. |
| abstract
(cze) |
Je popsán uzávěr exponenciální rodiny s konvexnou množinou kanonických parametrů v totální variaci, bez jakýchkoliv podmínek regularity. K tomu byly použity pojmy konvexního jádra míry, extenze exponenciální rodiny a přístupné stěny konvexní množiny. Dva další typy uzávěrů jsou také charakterizovány. |
| RIV |
BA |
| reportyear |
2006 |
| department |
MTR |
| permalink |
http://hdl.handle.net/11104/0131452 |
| ID_orig |
UTIA-B 20050100 |
| arlyear |
2005 |
| mrcbU63 |
cav_un_epca*0250815 Annals of Probability 0091-1798 Roč. 33 č. 2 2005 582 600 Institute of Mathematical Statistics |
|