A relation between the Renyi distance of order α and the variational distance

Author

Alencar, Marcelo S. ; Assis, Francisco M.

Author_Institution

Dept. de Eng. Electr., Univ. Fed. da Paraiba, Brazil

fYear

1998

fDate

9-13 Aug 1998

Firstpage

242

Abstract

Inequalities involving the Renyi distance of order α, the Kullback-Leibler distance and the variational distance are presented. The inequalities are useful in situations where one needs a comparison between different distributions on the same alphabet or, for instance, in connection with problems on guessing and sequential decoding, or classification

Keywords

entropy; information theory; sequential decoding; statistical analysis; Kullback-Leibler distance; Renyi distance; Renyi entropy; alphabet distributions; classification; guessing; inequalities; information measures; sequential decoding; variational distance; Decoding; Probability distribution; Q measurement;

fLanguage

English

Publisher

ieee

Conference_Titel

Telecommunications Symposium, 1998. ITS '98 Proceedings. SBT/IEEE International

Conference_Location

Sao Paulo

Print_ISBN

0-7803-5030-8

Type

conf

DOI

10.1109/ITS.1998.713125

Filename

713125

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=328066