Re: [機統] 機率兩題觀念

看板Math作者yueayase (scrya)時間14年前 (2011/04/15 00:55)推噓3(3推 0噓 5→)

留言8則, 2人參與討論串3/4 (看更多)

對於分布一致,我不知道原Po指的是"有相同的distribution", 還是X和Y兩者代表相同的隨機變數 Case1: 相同的distribution,不同的隨機變數 Ex: Let F (x) = x, 0 < x <1 for random variable X. X Now, define Y = 1 - X Consider the cdf of Y: F (y) = P(Y <= y) = P(1 - X <= y) = P(X >= 1 - y) = 1 - P(X < 1-y) Y = 1 - F(1-y) = 1 - (1-y) = y, 0 < y < 1 Obviously, Y ≠ X but F (x) = F (x) for each x. X Y 來源: Introduction to mathematical statistics by Hogg McKean Craig Case2: X = Y -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 111.251.188.118 ※ 編輯: yueayase 來自: 111.251.188.118 (04/15 00:57)

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andy2007

04/15 09:51, , 1^F

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andy2007

04/15 09:51, , 2^F

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andy2007

04/15 09:52, , 3^F

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