• On the axiomatic approach to the maximum entropy principle of inference

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      https://www.ias.ac.in/article/fulltext/pram/026/04/0301-0310

    • Keywords

       

      Inductive inference; maximum entropy principle; prior distribution

    • Abstract

       

      Recent axiomatic derivations of the maximum entropy principle from consistency conditions are critically examined. We show that proper application of consistency conditions alone allows a wider class of functionals, essentially of the form ∝ dxp(x)[p(x)/g(x)]s, for some real numbers, to be used for inductive inference and the commonly used form − ∝ dx p(x)ln[p(x)/g(x)] is only a particular case. The role of the prior densityg(x) is clarified. It is possible to regard it as a geometric factor, describing the coordinate system used and it does not represent information of the same kind as obtained by measurements on the system in the form of expectation values.

    • Author Affiliations

       

      S N Karbelkar1

      1. Joint Astronomy Program, Physics Department, Indian Institute of Science, Bangalore - 560 012, India
    • Dates

       
  • Pramana – Journal of Physics | News

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