I want to use acceptance rejection to sample from a certain PDF $f(x)$. I was able to upper bound the PDF by $$ f(x) < h(x) = d x^c \exp(-a(x-b)^2)$$ where $a, b, c, d$ are positive constants. As per the acceptance rejection algorithm, I want to know if $h$ can be linked to a known PDF or even better can it be upper bounded by a known PDF.
Thanks.