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1 results

  • Bivariate distributions as saddle points of mutual information

  • Geung Ho Kim, H. T. David
  • Journal:
    Journal of Applied Probability / Volume 15 / Issue 3 / September 1978
    Published online by Cambridge University Press:
    14 July 2016, pp. 523-530
    Print publication:
    September 1978

  • Fix a bivariate distribution F on X × Y, considered as a pair (α, {Fx}), where α is a marginal distribution on X and {Fx} is a collection of conditional distributions on Y. For essentially every (β,{Gx}) satisfying a certain pair of moment conditions determined by (α, {Fx}), J(β, {Fx}) ≦ J(α, {Fx}) ≦ J(α, {Gx}), where J is mutual information. This relates to two sorts of extremizations of mutual information of relevance to communication theory and statistics.