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math.PR2026
Multiplicative comparisons of Rényi entropies for weighted Bernoulli sums
Jiange Li
We establish multiplicative comparisons between Rényi entropies of different orders for weighted sums of independent Bernoulli random variables. In particular, we prove a logarithm…
math.PR2026
Central limit theorem in Rényi divergence for lattice random variables
Zhen Fu, Jiange Li
Let be independent, identically distributed lattice random variables with zero mean, unit variance, and maximal span . Let . Le…
math.PR2026
Symmetrization resistance for exponential and geometric distributions
Jiange Li
Given a random variable , an independent random variable is called a symmetrizer of if their sum is symmetric about the origin. The study of symmetrization resista…