Thread: Marginal pdf of 2 dimensional random variables

Hi everybody,

Given is the following joint distribution of the 2-dimensional random variable (X1,X2).

f(x1,x2)=(1/(2*x1); if 0<x2<x1 ;0<x1<2;
0; otherwise

How do I get the two marginal pdf f(x1) and f(x2)?

Thanks for your help!

Originally Posted by Marmy

Hi everybody,

Given is the following joint distribution of the 2-dimensional random variable (X1,X2).

f(x1,x2)=(1/(2*x1); if 0<x2<x1 ;0<x1<2;
0; otherwise

How do I get the two marginal pdf f(x1) and f(x2)?

Thanks for your help!

It helps if you sketch the region over which the density is non-zero:





CB

Thank you very much!

This helped a lot.