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 (Poincar\'{e} and logarithmic Sobolev) inequalities, monotonicity of entropy and concavity of entropy in the Shepp--Olkin regime.
CITATION STYLE
Johnson, O. (2017). Entropy and Thinning of Discrete Random Variables (pp. 33–53). https://doi.org/10.1007/978-1-4939-7005-6_2
Mendeley helps you to discover research relevant for your work.