Diffusion local time storage
Probability
2007-05-23 v1
Abstract
In this paper we study a storage process or a liquid queue in which the input process is the local time of a positively recurrent stationary diffusion in stationary state and the potential output takes place with a constant deterministic rate. For this storage process we find its stationary distribution and compute the joint distribution of the starting and ending times of the busy and idle periods. This work completes and extends to a more general setting the results in Mannersalo, Norros, and Salminen (2003).
Cite
@article{arxiv.math/0406398,
title = {Diffusion local time storage},
author = {M. Kozlova and P. Salminen},
journal= {arXiv preprint arXiv:math/0406398},
year = {2007}
}
Comments
24 pages; to appear in Stoch. Proc. Appl