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

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)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1980
Accession Number
ADA093123

Entities

People

  • Calyampudi Radhakrishna Rao
  • J. Burbea

Organizations

  • University of Pittsburgh

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Convex Sets
  • Distribution Functions
  • Inequalities
  • Intervals
  • Mathematics
  • Probability
  • Probability Distributions
  • Real Numbers
  • Scientific Research
  • Statistical Inference
  • Statistics
  • Theorems
  • United States
  • United States Government
  • Vector Spaces

Readers

  • Statistical inference.

Technology Areas

  • Space