Title
Generalization of a Pinsker problem
Abstract
A generalization of a Pinsker problem [1] on estimation of mutual information via variation is considered. We obtain some upper and lower bounds for the maximum of the absolute value of the difference between the mutual information of several random variables via variational distance between the probability distributions of these random variables. In some cases, these bounds are optimal.
Year
DOI
Venue
2011
10.1134/S0032946011020037
Probl. Inf. Transm.
Keywords
Field
DocType
random variable,mutual information,variational distance,lower bound,absolute value,pinsker problem,probability distribution,upper and lower bounds
Discrete mathematics,Combinatorics,Random variable,Joint probability distribution,Algebra of random variables,Probability distribution,Multivariate random variable,Mutual information,Conditional mutual information,Mathematics,Marginal distribution
Journal
Volume
Issue
ISSN
47
2
1608-3253
Citations 
PageRank 
References 
1
0.37
6
Authors
1
Name
Order
Citations
PageRank
Vyacheslav V. Prelov114529.59