作者littleshing ()
看板Statistics
標題[問題] 政大風管考題
時間Tue Mar 11 20:28:57 2008
Let Y2 and Y4 denote the second and the 4-th order statistics of a random
sample of size 5 from a distribution of the continuous type having
distribution F(x). Compute Pr[F(Y4)-F(Y2)>=0.5]
解答上說F(Y4)-F(Y2) ~Beta(2,4)
原因是什麼呀
謝謝回應喔
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1F：推 twosix:F(x)~Uniform(0,1) 而F(Y4)-F(Y2)~Beta(2,4) 03/11 20:35
2F：→ littleshing:題目沒提到是U(0,1)呀 @@ 03/11 20:47
3F：推 bugle:回原PO，F(x)~U(0,1) 是定理，自己查書吧 03/11 21:10
4F：→ littleshing:樓上說的對 感謝 03/11 21:13
5F：推 MIZUYAMA:為何F(Y4)-F(Y2) ~Beta(2,4)...= =? 03/12 17:56
6F：推 MIZUYAMA:F(Y2)就呈Beta(2,4)不是嗎? 03/12 18:01
7F：推 Leeeeeeeeeee:F(Y4)-F(Y2)~Beta(2,4) 沒錯 03/12 18:31