Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random Scaling of Gumbel Risks   In this paper we consider the product of two positive independent risks $Y_1$
and $Y_2$. If $Y_1$ is bounded and $Y_2$ has distribution in the Gumbel
max-domain of attraction with some auxiliary function which is regularly
varying at infinity, then we show that $Y_1Y_2$ has also distribution in the
Gumbel max-domain of attraction. Additionally, if both $Y_1,Y_2$ have
log-Weibullian or Weibullian tail behavior, we show that $Y_1Y_2$ has
log-Weibullian or Weibullian asymptotic tail behavior, respectively. We present
two applications of our results.

31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga