Accession Number : AD0623954

Title :   INTERACTION INFORMATION IN MULTIVARIATE PROBABILITY DISTRIBUTIONS.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s) : Sakaguchi,Minoru

Report Date : 13 SEP 1965

Pagination or Media Count : 18

Abstract : It is shown in this note that the entropy of a multivariate distribution can be expressed in terms of the sum of onedimensional marginal entropies, the sum of transmitted information between each pair of component variables, the sum of interaction information in trivariate component distributions, and so on. Using this result, the author gives a class of multivariate distributions having specified component densities and some preassigned association measure between some component variables. Proofs of equations and statements which are not so evident are also given.

Descriptors :   (*INFORMATION THEORY, PROBABILITY), (*DISTRIBUTION THEORY, INFORMATION THEORY), PERMUTATIONS, STOCHASTIC PROCESSES, MULTIPLEXING

Subject Categories : Statistics and Probability
      Cybernetics

Distribution Statement : APPROVED FOR PUBLIC RELEASE