Originally Posted by

**arvind** I am trying to find the pdf of the ratio of two RV's $\displaystyle Z = X/Y$. $\displaystyle X$ is chi-square distributed with two degrees of freedom and $\displaystyle Y$ is non-central chi-sqaure distributed with 2 degrees of freedom and non centrality parameter $\displaystyle \lambda$. How to find the pdf of $\displaystyle Z$? Any thoughts?

Another dumb question:

Also, If $\displaystyle W= X^2/Y^2$, and if $\displaystyle X$ and $\displaystyle Y$ are normal distributions with different mean and variances, can I write W as $\displaystyle (X/Y)^2$ and solve by finding the pdf of $\displaystyle G = X/Y$ first and then finding the pdf for $\displaystyle W = G^2$?

Any suggestion will be really appreciated.

Thanks

Arvind