Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics for the sum of three state Markov dependent random variables   The insurance model when the amount of claims depends on the state of the
insured person (healthy, ill, or dead) and claims are connected in a Markov
chain is investigated. The signed compound Poisson approximation is applied to
the aggregate claims distribution after $n\in \mathbb {N}$ periods. The
accuracy of order $O(n^{-1})$ and $O(n^{-1/2})$ is obtained for the local and
uniform norms, respectively. In a particular case, the accuracy of estimates in
total variation and non-uniform estimates are shown to be at least of order
$O(n^{-1})$. The characteristic function method is used. The results can be
applied to estimate the probable loss of an insurer to optimize an insurance
premium.

21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci