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1 results

  • An entropy concentration theorem: applications in artificial intelligence and descriptive statistics

  • Claudine Robert
  • Journal:
    Journal of Applied Probability / Volume 27 / Issue 2 / June 1990
    Published online by Cambridge University Press:
    14 July 2016, pp. 303-313
    Print publication:
    June 1990

  • The maximum entropy principle is used to model uncertainty by a maximum entropy distribution, subject to some appropriate linear constraints. We give an entropy concentration theorem (whose demonstration is based on large deviation techniques) which is a mathematical justification of this statistical modelling principle. Then we indicate how it can be used in artificial intelligence, and how relevant prior knowledge is provided by some classical descriptive statistical methods. It appears furthermore that the maximum entropy principle yields to a natural binding between descriptive methods and some statistical structures.