設(shè)二維隨機(jī)變量(X,Y)的聯(lián)合分布函數(shù)為F(X,Y)=A(B+arctanX)(C+arcY).求
設(shè)二維隨機(jī)變量(X,Y)的聯(lián)合分布函數(shù)為F(X,Y)=A(B+arctanX)(C+arcY).求
(1)常數(shù)A,B,C
(2)關(guān)于X,Y的邊緣分布函數(shù)
是arctanY
(1)常數(shù)A,B,C
(2)關(guān)于X,Y的邊緣分布函數(shù)
是arctanY
數(shù)學(xué)人氣:708 ℃時(shí)間:2019-11-06 02:28:11
優(yōu)質(zhì)解答
F(-∞,-∞)=A(B-π/2)(C-π/2)=0F(-∞,+∞)=A(B-π/2)(C+π/2)=0F(+∞,-∞)=A(B+π/2)(C-π/2)=0F(+∞,+∞)=A(B+π/2)(C+π/2)=1解得:A=1/π^2,B=π/2,C=π/2f(x,y)=dF(x,y)/dxdy=1/[π^2 (1+x^2)(1+y^2)]邊緣函數(shù)f...
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