※ 引述《helloboy (小悟)》之銘言： : 最近做習題 做到不會做的題目 我們用的書是 : Introduction to Mathematical Statistics, 6th Edition, : by Robert V. Hogg, Joseph W. Mckean and Allen T. Craig, : 有一題題目是 : Let the r.v.s X1 and X2 have the jpdf f(x1,x2)= 1/π,for (x1-1)^2+(x2+2)^2 < 1 : ,zero elsewhere. : Find marginal pdf f1(x1) and f2(x2). hint (x1-1)^2+(x2+2)^2 <1 => the region inside a circle that the center (1,-2) and the radius 1 f1(x1)=∫f(x1,x2)dx2 x2 f2(x2)=∫f(x1,x2)dx1 x1 : 還有一題 : Let X1 and X2 be two independent r.v.s . : Suppose X1 and Y=X1+X2 have Poisson distributions with means μ1 and μ>μ1, : respectively. Find the distribution of X2. by mgf~ : 以上 X1 X2 的 1 2 為下標 : 真的有想過了~但是真的不知道怎麼做!! 麻煩高手提示一下!! --

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