sum of two chi squared random variables



Hello,
We are facing problem in finding the pdf of a random variable
of the form
Y= X1+b*X2, where X1 and X2 are chi squared random variables with 2
degrees of freedom. Both X1 and X2 are independent. b is a constant.
Is there any standard form of expression for the pdf of Y?
Thanks for your help,
SaiRamesh &Gerardo.

.



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