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. Prelov | 1 | 145 | 29.59 |