Name
Abstract | ||
|---|---|---|
We obtain some upper and lower bounds for the maximum of mutual information of several random variables via variational distance between the joint distribution of these random variables and the product of its marginal distributions. In this connection, some properties of variational distance between probability distributions of this type are derived. We show that in some special cases estimates of the maximum of mutual information obtained here are optimal or asymptotically optimal. Some results of this paper generalize the corresponding results of [1---3] to the multivariate case. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1134/S0032946009040012 | Problems of Information Transmission |
Keywords | Field | DocType |
corresponding result,multivariate case,marginal distribution,random variable,mutual information,joint distribution,asymptotically optimal,variational distance,lower bound,probability distribution | Convergence of random variables,Combinatorics,Algebra of random variables,Joint probability distribution,Multivariate random variable,Mutual information,Statistical distance,Sum of normally distributed random variables,Marginal distribution,Mathematics | Journal |
Volume | Issue | ISSN |
45 | 4 | 0032-9460 |
Citations | PageRank | References |
3 | 0.48 | 6 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vyacheslav V. Prelov | 1 | 145 | 29.59 |