论文标题
大偏差理论中的熵方法
The Entropy Method in Large Deviation Theory
论文作者
论文摘要
本文说明了熵方法在解决大偏差理论问题上的力量。我们为大偏差理论中的大多数基本结果提供和审查熵证明，包括Cramer的定理，Gärtner-ellis Theorem和Sanov定理。此外，通过熵方法，我们还加强了Sanov的定理对强版本。
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.
