“CDF的最大值的VAR是啥呢?”
CDF的最大值是1, Var(1) = 0 。任何常数的variance都是0.
我猜是问max(X_i)的var,这里有讨论max(X_i)的,http://ocw.mit.edu/courses/civil-and-environmental-engineering/1-151-probability-and-statistics-in-engineering-spring-2005/lecture-notes/app11_max.pdf;对正太分布,估计没有closed form的解,所以用simulation不错。