The DFR property for counting processes stopped at an independent random time
Probability
2016-01-20 v2
Abstract
In the present paper we consider general counting processes stopped at a random time , independent of the process. Provided that has the decreasing failure rate (DFR) property, we give sufficient conditions on the arrival times so that the number of events occurring before preserves the DFR property of . In particular, when the interarrival times are independent, we consider applications concerning the DFR property of the stationary number of customers waiting in queue for specific queuing models.
Keywords
Cite
@article{arxiv.1201.2545,
title = {The DFR property for counting processes stopped at an independent random time},
author = {F. G. Badía and C. Sangüesa},
journal= {arXiv preprint arXiv:1201.2545},
year = {2016}
}
Comments
Some changes made in the general results with respect to the previous version. Main result is now Theorem 3.1