| bibtype |
J -
Journal Article
|
| ARLID |
0386229 |
| utime |
20240903170528.3 |
| mtime |
20130111235959.9 |
| WOS |
000312118700011 |
| SCOPUS |
84879199459 |
| DOI |
10.1214/11-AIHP431 |
| title
(primary) (eng) |
On conditional independence and log-convexity |
| specification |
|
| serial |
| ARLID |
cav_un_epca*0250789 |
| ISSN |
0246-0203 |
| title
|
Annales de L Institut Henri Poincare-Probabilites Et Statistiques |
| volume_id |
48 |
| volume |
4 (2012) |
| page_num |
1137-1147 |
| publisher |
| name |
Institute of Mathematical Statistics |
|
|
| keyword |
Conditional independence |
| keyword |
Markov properties |
| keyword |
factorizable distributions |
| keyword |
graphical Markov models |
| keyword |
log-convexity |
| keyword |
Gibbs-Markov equivalence |
| keyword |
Markov fields |
| keyword |
Gaussian distributions |
| keyword |
positive definite matrices |
| keyword |
covariance selection model |
| author
(primary) |
| ARLID |
cav_un_auth*0101161 |
| name1 |
Matúš |
| name2 |
František |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept (eng) |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department (eng) |
MTR |
| institution |
UTIA-B |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| project_id |
IAA100750603 |
| agency |
GA AV ČR |
| ARLID |
cav_un_auth*0216427 |
|
| project |
| project_id |
GA201/08/0539 |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0239648 |
|
| abstract
(eng) |
If conditional independence constraints define a family of positive distributions that is log-convex then this family turns out to be a Markov model over an undirected graph. This is proved for the distributions on products of finite sets and for the regular Gaussian ones. As a consequence, the assertion known as Brook factorization theorem, Hammersley-Clifford theorem or Gibbs-Markov equivalence is obtained. |
| reportyear |
2013 |
| RIV |
BA |
| mrcbC52 |
4 A 4a 20231122135425.1 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0216169 |
| mrcbT16-e |
STATISTICSPROBABILITY |
| mrcbT16-f |
0.979 |
| mrcbT16-g |
0.32 |
| mrcbT16-h |
7.9 |
| mrcbT16-i |
0.00536 |
| mrcbT16-j |
1.254 |
| mrcbT16-k |
623 |
| mrcbT16-l |
50 |
| mrcbT16-q |
24 |
| mrcbT16-s |
1.926 |
| mrcbT16-y |
29.36 |
| mrcbT16-x |
0.97 |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
67.887 |
| mrcbT16-C |
50.855 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q1 |
| arlyear |
2012 |
| mrcbTft |
\nSoubory v repozitáři: matus-0386229.pdf |
| mrcbU14 |
84879199459 SCOPUS |
| mrcbU34 |
000312118700011 WOS |
| mrcbU63 |
cav_un_epca*0250789 Annales de L Institut Henri Poincare-Probabilites Et Statistiques 0246-0203 Roč. 48 č. 4 2012 1137 1147 Institute of Mathematical Statistics |
|