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math.PR2022
The Entropy Method in Large Deviation Theory
Lei Yu
This paper illustrates the power of the entropy method in addressing problems from large deviation theory. We provide and review entropy proofs for most fundamental results in larg…
math.PR2018
On Conditional Correlations
Lei Yu
The Pearson correlation, correlation ratio, and maximal correlation have been well-studied in the literature. In this paper, we study the conditional versions of these quantities.…
math.PR2018
Beyond the Central Limit Theorem: Universal and Non-universal Simulations of Random Variables by General Mappings
Lei Yu
Motivated by the Central Limit Theorem, in this paper, we study both universal and non-universal simulations of random variables with an arbitrary target distribution by ge…