Title :
Exceptionality of the Variational Distance
Author :
Khosravifard, M. ; Fooladivanda, D. ; Gulliver, T.A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Isfahan Technol. Univ.
Abstract :
Csiszar f-divergences are an important class of distances for probability distributions. In particular, a well-known Csiszar f-divergence is the variational distance which is also a metric. Here, we prove that the variational distance is actually the unique Csiszar f-divergence which satisfies all metric conditions
Keywords :
information theory; statistical analysis; statistical distributions; Csiszar f-divergences; information theory; probability distributions; probability theory; variational distance exceptionality; Probability distribution;
Conference_Titel :
Information Theory Workshop, 2006. ITW '06 Chengdu. IEEE
Conference_Location :
Chengdu
Print_ISBN :
1-4244-0067-8
Electronic_ISBN :
1-4244-0068-6
DOI :
10.1109/ITW2.2006.323802
