Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Copula based hierarchical risk aggregation - Tree dependent sampling and
  the space of mild tree dependence   The ability to adequately model risks is crucial for insurance companies. The
method of "Copula-based hierarchical risk aggregation" by Arbenz et al. offers
a flexible way in doing so and has attracted much attention recently. We
briefly introduce the aggregation tree model as well as the sampling algorithm
proposed by they authors.
  An important characteristic of the model is that the joint distribution of
all risk is not fully specified unless an additional assumption (known as
"conditional independence assumption") is added. We show that there is
numerical evidence that the sampling algorithm yields an approximation of the
distribution uniquely specified by the conditional independence assumption. We
propose a modified algorithm and provide a proof that under certain conditions
the said distribution is indeed approximated by our algorithm.
  We further determine the space of feasible distributions for a given
aggregation tree model in case we drop the conditional independence assumption.
We study the impact of the input parameters and the tree structure, which
allows conclusions of the way the aggregation tree should be designed.

13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex