The Entropy Method in Large Deviation Theory

10/24/2022

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by   Lei Yu, et al.

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Nankai University

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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 large deviation theory, including Cramer's theorem, the Gärtner–Ellis theorem, and Sanov's theorem. Moreover, by the entropy method, we also strengthen Sanov's theorem to the strong version.