An approximation of stopped sums with applications in queueing theory
- 1 March 1987
- journal article
- research article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 19 (03) , 674-690
- https://doi.org/10.1017/s0001867800016815
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.Keywords
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