标题： 信息谱方法的大偏差定理 显示英文标题

标题： An information-spectrum approach to large deviation theorems

摘要： 在本文中，我们从信息谱（IS）方法的角度展示了对大偏差定理的一些新见解，该方法最初在信息论中被利用，并且还展示了通用的大偏差率函数的新基本公式，该公式是一对下界和上界IS率函数。 特别是，我们致力于建立可以作为矩生成函数的Fenchel-Legendre变换推导出的一般大偏差率函数。 最终目标是展示率函数为Cramér-Gärtner-Ellis型的必要充分条件。 显示英文摘要

摘要： In this paper we show a some new look at large deviation theorems from the viewpoint of the information-spectrum (IS) methods, which has been first exploited in information theory, and also demonstrate a new basic formula for the large deviation rate function in general, which is a pair of the lower and upper IS rate functions. In particular, we are interested in establishing the general large deviation rate functions that can be derivable as the Fenchel-Legendre transform of the cumulant generating function. The final goal is to show a necessary and sufficient condition for the rate function to be of Cram\'er-G\"artner-Ellis type.