An asymptotic expansion is derived for Sr(n)/Tr(n), where r and n are integers, and . Bounds for the remainder after kterms of the expansion are obtained and it is shown how the expansion may be applied in hypothesis testing and the study of the transient behaviour of a queue with batch arrivals.
An asymptotic expansion is derived for Sr
(n)/Tr
(n), where r and n are integers, and . Bounds for the remainder after kterms of the expansion are obtained and it is shown how the expansion may be applied in hypothesis testing and the study of the transient behaviour of a queue with batch arrivals.