• DOI:10.1287/15-SSY212
Corpus ID: 119713241

Stein's method for steady-state diffusion approximations: an introduction through the Erlang-A and Erlang-C models

@article{Braverman2015SteinsMF,
  title={Stein's method for steady-state diffusion approximations: an introduction through the Erlang-A and Erlang-C models},
  author={Anton Braverman and J. Dai and Jiekun Feng},
  journal={arXiv: Probability},
  year={2015}
}

Anton Braverman, J. Dai, Jiekun Feng

Published 2015

Mathematics

arXiv: Probability

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… CONTINUE READING

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