[機統] 想問，有沒有什麼例子可以描述converge i

[pennyleo (今朝有酒今朝醉)]

想問一下

有沒有什麼例子，可以描述滿足converge in distribution，但卻不滿足converge in probability？

同樣的，還有converge in almost sure

不知道網路上有這樣的例子嗎？

謝謝



--
Sent from nPTT on my iPhone 8

--
※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 114.136.181.129 (臺灣)
※ 文章網址: https://www.ptt.cc/bbs/Math/M.1653408360.A.6B5.html
→ yueayase    : X a continous random variable with pdf f(x)
→ yueayase    : symmetric about 0. The pdf of -X is also f(x)
→ yueayase    : Define Xn = X if n is odd, -X if n is even
→ yueayase    : Then Xn->(D) X but Xn-\>(P)X
→ recorriendo : conv in distribution連probability space都不需一
→ recorriendo : 樣了