Consider an M/G/1 queue with unknown service-time distribution and unknown traffic intensity ρ. Given systematically sampled observations of the workload, we construct estimators of ρ and of the service-time distribution function, and we study asymptotic properties of these estimators.
@article{1155735934,
author = {Hansen, Martin B. and Pitts, Susan M.},
title = {Nonparametric inference from the M/G/1 workload},
journal = {Bernoulli},
volume = {12},
number = {2},
year = {2006},
pages = { 737-759},
language = {en},
url = {http://dml.mathdoc.fr/item/1155735934}
}
Hansen, Martin B.; Pitts, Susan M. Nonparametric inference from the M/G/1 workload. Bernoulli, Tome 12 (2006) no. 2, pp. 737-759. http://gdmltest.u-ga.fr/item/1155735934/