Accession Number:

ADA093123

Title:

On the Convexity of Some Divergence Measures Based on Entropy Functions.

Descriptive Note:

Interim rept.,

Corporate Author:

PITTSBURGH UNIV PA INST FOR STATISTICS AND APPLICATIONS

Personal Author(s):

Report Date:

1980-09-01

Pagination or Media Count:

30.0

Abstract:

Three measures of divergence between vectors in a convex set of an n-dimensional real vector space have been defined in terms of certain types of entropy functions, and their convexity property studied. Among other results, a classification of the alpha-order entropies is obtained by the convexity of these measures. These results have applications to the measurement of diversity of a discrete probability distribution and divergence between two distributions. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE