An approximation of stopped sums with applications in queueing theory

Authors
Csörg., Miklós Deheuvels, Paul Horváth, Lajos
Citation
Csörg., Miklós et al., An approximation of stopped sums with applications in queueing theory, Advances in applied probability , 19(3), 1987, pp. 674-690
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
19
Issue
3
Year of publication
1987
Pages
674 - 690
Database
ACNP
SICI code
Abstract
We prove strong approximations for partial sums indexed by a renewal process. The obtained results are optimal. The established probability inequalities are also used to get bounds for the rate of convergence of some limit theorems in queueing theory.