论文标题
随机矢量的速率函数何时严格凸出？
When is the rate function of a random vector strictly convex?
论文作者
论文摘要
我们为严格凸出随机向量函数的严格凸出提供了必要和充分的条件。当随机向量具有有限的拉普拉斯变换时，总是满足此条件。我们还彻底描述了速率函数在较弱的条件下的有效域。
We give a necessary and sufficient condition for strict convexity of the rate function of a random vector in $R^d$. This condition is always satisfied when the random vector has finite Laplace transform. We also completely describe the effective domain of the rate function under a weaker condition.
