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Corrigendum to “Tail behaviour of the busy period of a GI/GI/1 queue with subexponential service times” [Stochastic Process. Appl. 111 (2004) 237-258]
Authors:Daryl J Daley  Yang Yang
Institution:
  • a Department of Mathematics and Statistics, The University of Melbourne, Parkville, VIC 3052, Australia
  • b Centre for Mathematical Sciences, and Institute for Advanced Study, Technische Universität München, 85748 Garching, Germany
  • c School of Mathematics and Statistics, Nanjing Audit University, Nanjing City, Jiangsu Province, 210029, PR China
  • Abstract:The purpose of this note is to correct an error in Baltrunas et al. (2004) 1], and to give a more detailed argument to a formula whose validity has been questioned over the years. These details close a gap in the proof of Theorem 4.1 as originally stated, the validity of which is hereby strengthened.
    Keywords:GI/GI/1 queue  Busy period  Subexponential distribution  Transient random walk  Precise large deviations
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