TY  - JOUR
AU  - Luh, Hsing 
AU  - Wu, Berlin 
PY  - 2005
TI  - Kernel Density Estimation for Interdeparture Time of GI/G/1 Queues
JF  - Journal of Mathematics and Statistics
VL  - 1
IS  - 1
DO  - 10.3844/jmssp.2005.35.39
UR  - https://thescipub.com/abstract/jmssp.2005.35.39
AB  - The departure process of a single queue has been studied since the 1960s. Due to its
inherent complexity, closed form solutions for the distribution of the departure process are nearly
intractable. In this study, kernel type estimators of the density of interdeparture time in a GI/G/1
queue are studied. Uniform strong consistency of the estimators in a GI/G/1 queue and their rates of
convergence are obtained. The stochastic processes are shown to satisfy the strong mixing condition
with random instants of sampling. With the analysis presented, we provide a novel analytic tool for
studying the departure process in a general queueing model.