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math.PR2019
Load balancing under -thinning
Ohad N. Feldheim, Jiange Li
In the classical balls-and-bins model, balls are allocated into bins one by one uniformly at random. In this note, we consider the -thinning variant of this model, in wh…
math.PR2019
Further investigations of Rényi entropy power inequalities and an entropic characterization of s-concave densities
Jiange Li, Arnaud Marsiglietti, James Melbourne
We investigate the role of convexity in Rényi entropy power inequalities. After proving that a general Rényi entropy power inequality in the style of Bobkov-Chistyakov (2015) fails…
math.PR2018
Large deviations for conditional guesswork
Jiange Li
The guesswork problem was originally studied by Massey to quantify the number of guesses needed to ascertain a discrete random variable. It has been shown that for a large class of…