0455604 20240903170634.320160215235959.9 000368042700001 84951166570 10.14736/kyb-2015-5-0725 14 s. P cav_un_epca*02971630023-5954515 (2015)725-738Ústav teorie informace a automatizace AV ČR, v. v. i. exponential family variance function Kullback--Leibler divergence relative entropy information divergence mean parametrization convex support cav_un_auth*0101161 Matúš František Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2016/MTR/matus-0455604.pdf GA13-20012S GA ČR cav_un_auth*0292670 This work studies the standard exponential families of probability measures on Euclidean spaces that have finite supports. In such a family parameterized by means, the mean is supposed to move along a segment inside the convex support towards an endpoint on the boundary of the support. Limit behavior of several quantities related to the exponential family is described explicitly. In particular, the variance functions and information divergences are studied around the boundary. 2016 BD 1 RVO:67985556 http://hdl.handle.net/11104/0257090 S COMPUTERSCIENCE.CYBERNETICS 0.578 0.031 999.9 0.00152 0.305 678 0.321 Q2 0.438 64 Q4 30.893 11.4 Q3 Q3 11.364 2015 84951166570 SCOPUS 000368042700001 WOS cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 51 č. 5 2015 725 738 Ústav teorie informace a automatizace AV ČR, v. v. i.