作者pennyleo (今朝有酒今朝醉)
看板Math
标题[机统] 想问，有没有什麽例子可以描述converge i
时间Wed May 25 00:05:58 2022
想问一下
有没有什麽例子，可以描述满足converge in distribution，但却不满足converge in probability？
同样的，还有converge in almost sure
不知道网路上有这样的例子吗？
谢谢
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1F：→ yueayase : X a continous random variable with pdf f(x) 05/25 01:15
2F：→ yueayase : symmetric about 0. The pdf of -X is also f(x) 05/25 01:16
3F：→ yueayase : Define Xn = X if n is odd, -X if n is even 05/25 01:17
4F：→ yueayase : Then Xn->(D) X but Xn-\>(P)X 05/25 01:17
5F：→ recorriendo : conv in distribution连probability space都不需一 05/25 04:03
6F：→ recorriendo : 样了 05/25 04:03