设二维随机变量(X,Y)的联合分布函数为F(X,Y)=A(B+arctanX)(C+arcY).求(1)常数A,B,C(2)关于X,Y的边缘分布函数是arctanY
<p>问题:设二维随机变量(X,Y)的联合分布函数为F(X,Y)=A(B+arctanX)(C+arcY).求(1)常数A,B,C(2)关于X,Y的边缘分布函数是arctanY<p>答案:↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">曲玲的回答:<div class="content-b">网友采纳 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)]边缘函数f...
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