• On the discretization of probability density functions and the continuous Rényi entropy

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      https://www.ias.ac.in/article/fulltext/pram/085/06/1073-1087

    • Keywords

       

      Probability density function; Rényi entropy; differential (continuous) entropy; discretization method; mean-value theorem for integrals.

    • Abstract

       

      On the basis of second mean-value theorem (SMVT) for integrals, a discretization method is proposed with the aim of representing the expectation value of a function with respect to a probability density function in terms of the discrete probability theory. This approach is applied to the continuous Rényi entropy, and it is established that a discrete probability distribution can be associated to it in a very natural way. The probability density functions for the linear superposition of two coherent states is used for developing a representative example.

    • Author Affiliations

       

      Diógenes Campos1

      1. Academia Colombiana de Ciencias Exactas, Físicas y Naturales, ACCEFYN, Bogotá, Colombia
    • Dates

       
  • Pramana – Journal of Physics | News

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