Title :
On closures of exponential families and their subfamilies
Author :
Csiszár, I. ; Matús, F.
Author_Institution :
A. Renyi Inst. of Math., Hungarian Acad. of Sci., Budapest, Hungary
fDate :
29 June-4 July 2003
Abstract :
The variation distance closures of exponential families and their log-convex subfamilies are characterized. A problem left open in (I. Csiszar, et al., 2002) is settled: an exponential family is constructed whose closure in reversed information divergence, rI-closure, is neither rI-closed nor log-convex.
Keywords :
exponential distribution; information theory; maximum likelihood estimation; exponential families; log-convex subfamily; rI-closure; reversed information divergence; variation distance closure; Automation; Content addressable storage; Density measurement; Entropy; Mathematics; Measurement standards;
Conference_Titel :
Information Theory, 2003. Proceedings. IEEE International Symposium on
Print_ISBN :
0-7803-7728-1
DOI :
10.1109/ISIT.2003.1228069
