On the rate of beta-mixing and convergence to a stationary distribution in continuous-time Erlang-type systems

Authors:
A. Yu. Veretennikov
Affiliations:
Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow School of Mathematics, University of Leeds, Leeds, UK
Venue:
Problems of Information Transmission
Year:
2010

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Abstract

We establish sufficient conditions for polynomial rate of convergence to a stationary distribution and of beta-mixing in continuous-time Erlang-type systems. Our results are a natural complement both to results of Erlang himself, dating back to the beginning of the 20th century, and to exponential estimates established later.