# Mathematical Manipulation

Status
Not open for further replies.

#### saeddawoud

##### Full Member level 3
mathematical manipulation

Hello,

Can I write the following integral:

$\int_{\gamma}^{\infty}\left(f_X(x)-F_Y(x-\gamma)\,f_X(x)\right)\,dx$

in the form of:

$\int_0^{\infty}F_Y(\alpha)\,f_X(\alpha+\gamma)\,d\alpha$ ?

where $f_X(x)$ and $F_X(x)$ are the PDF and CDF of the random variable $X$, respectively..

Regards

Last edited by a moderator:

Status
Not open for further replies.