[機統] Joint distributions

看板Math作者 (Justin)時間14年前 (2011/05/31 19:26), 編輯推噓1(102)
留言3則, 3人參與, 最新討論串3/4 (看更多)
題目出自 Saeed Ghahramani的機率課本 (閃電本) ch8.1 Exercise 19 Suppose that h is the probability density function of a continuous random variable. Let the joint probability density function of two random variables X and Y be given by f(x,y) = h(x)h(y) [x€R,y€R ,不知道"屬於"符號要怎麼打才能跟課本打一樣 (攤手) ] Question:Prove that P(X≧Y) = 1/2 該如何寫出證明會比較好呢? x 解答的答案是寫 H(x) = ∫ h(y)dy -∞ 再把h(y)換掉 .. 不過這邊的H(x)意義和後面的解法我看不太懂  希望版友們能幫忙解惑一下 謝謝! -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.113.68.146

05/31 21:04, , 1F
H(x)是指cdf吧
05/31 21:04, 1F

06/01 00:40, , 2F
H(x) = P(x≧Y)
06/01 00:40, 2F

06/06 02:19, , 3F
thx :)
06/06 02:19, 3F
文章代碼(AID): #1DvD1v2l (Math)
文章代碼(AID): #1DvD1v2l (Math)