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Mathematical Manipulation

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saeddawoud

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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
 
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