DocumentCode :
1525142
Title :
On Pairs of f -Divergences and Their Joint Range
Author :
Harremoës, Peter ; Vajda, Igor
Author_Institution :
Copenhagen Bus. Coll., Copenhagen, Denmark
Volume :
57
Issue :
6
fYear :
2011
fDate :
6/1/2011 12:00:00 AM
Firstpage :
3230
Lastpage :
3235
Abstract :
We compare two f-divergences and prove that their joint range is the convex hull of the joint range for distributions supported on only two points. The proofs use various methods from topology and convex analysis.
Keywords :
convex programming; information theory; statistical testing; convex analysis; convex hull; joint range; Atmospheric measurements; Convex functions; Density measurement; Joints; Loss measurement; Particle measurements; Testing; $f$-divergence; Convexity; joint range;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2011.2137353
Filename :
5773031
Link To Document :
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