On limiting towards the boundaries of exponential families

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F15%3A00455604" target="_blank" >RIV/67985556:_____/15:00455604 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.14736/kyb-2015-5-0725" target="_blank" >http://dx.doi.org/10.14736/kyb-2015-5-0725</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14736/kyb-2015-5-0725" target="_blank" >10.14736/kyb-2015-5-0725</a>

Result language
angličtina
Original language name
On limiting towards the boundaries of exponential families
Original language description
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 endpointon 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.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BD - Information theory
OECD FORD branch
—

Project
<a href="/en/project/GA13-20012S" target="_blank" >GA13-20012S: Conditional independence structures: algebraic and geometric methods</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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