Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stein's method for steady-state diffusion approximations: an
  introduction through the Erlang-A and Erlang-C models   This paper provides an introduction to the Stein method framework in the
context of steady-state diffusion approximations. The framework consists of
three components: the Poisson equation and gradient bounds, generator coupling,
and moment bounds. Working in the setting of the Erlang-A and Erlang-C models,
we prove that both Wasserstein and Kolmogorov distances between the stationary
distribution of a normalized customer count process, and that of an
appropriately defined diffusion process decrease at a rate of $1/\sqrt{R}$,
where $R$ is the offered load. Futhermore, these error bounds are
\emph{universal}, valid in any load condition from lightly loaded to heavily
loaded.

8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
18
The categories of this paper are: econ
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th