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I have a pdf $g_{r}: \mathbb{R}\rightarrow \mathbb{R}, r>1,c \in \mathbb{R}$ with $g_{r}(x) = cx^{-r}\chi _{(1,\infty)}(x)$. I am currently creating a list of all distributions we have covered in my stochastics lectures and homework and I wondered if this distribution has a name respectively if it is a special case of a more general distribution.

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