Entropy And Thinning Of Discrete Random Variables
CONVEXITY AND CONCENTRATION(2017)
摘要
We describe five types of results concerning information and concentration of discrete random variables, and relationships between them, motivated by their counterparts in the continuous case. The results we consider are information theoretic approaches to Poisson approximation, the maximum entropy property of the Poisson distribution, discrete concentration (Poincare and logarithmic Sobolev) inequalities, monotonicity of entropy and concavity of entropy in the Shepp-Olkin regime.
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关键词
Mass Function, Fisher Information, Relative Entropy, Probability Mass Function, Discrete Random Variable
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