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It is well-known that the Shannon entropies of some parameterized probability distributions are concave functions with respect to the parameter. In this paper we consider a family of such distributions… Click to show full abstract
It is well-known that the Shannon entropies of some parameterized probability distributions are concave functions with respect to the parameter. In this paper we consider a family of such distributions (including the binomial, Poisson, and negative binomial distributions) and investigate their Shannon, Rényi, and Tsallis entropies with respect to complete monotonicity.
Keywords:
monotonicity;
complete monotonicity;
monotonicity entropies
Journal Title: Periodica Mathematica Hungarica
Year Published: 2017
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Journal Title: Periodica Mathematica Hungarica
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!