On polynomial recurrence for reliability system with a warm reserve
Probability
2020-05-29 v3
Abstract
Conditions for positive and polynomial recurrence have been proposed for a class of reliability models of two elements with transitions from working state to failure and back. As a consequence, uniqueness of stationary distribution of the model is proved; the rate of convergence towards this distribution may be theoretically evaluated on the basis of the established recurrence.
Cite
@article{arxiv.1907.11982,
title = {On polynomial recurrence for reliability system with a warm reserve},
author = {Alexander Veretennikov},
journal= {arXiv preprint arXiv:1907.11982},
year = {2020}
}
Comments
20 pages, 15 references; some errors corrected in comparison with the version v1