Can You Generate Samples from f(x2) Based on f(x1)?

[benjaminmar8]

Hi,all,

I have a problem of computing pdf of some random variables. Assuming x1, x2... xN are some random variables. Now, I know the pdf of x1, which is f(x1). For the pdf of x2, it is given as a function of x1, in this case, how do I compute pdf of x2? Or, rather, how do I generate samples from f(x2)?

Thks

 

[mXSCNT]

One way is simply to generate a sample from x1, and compute what it gets transformed to in x2.

 

[bpet]

If you *have* to get the pdf of x2, the easiest way is to use the cumulative distribution and then take the derivative.