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ArticleSampling at subexponential times, with queueing applications

Søren Asmussen1999

OA

Articlebronze1999

Sampling at subexponential times, with queueing applications

Søren Asmussen · Claudia Klüppelberg · Karl Sigman

97 citations·0/0 files stored·Stochastic Processes and their Applications

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Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

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References

1997Modelling Extremal Events 1994Modelling of extremal events in insurance and finance 1987Applied Probability and Queues 2003Applied Probability and Queues 1995Saddlepoint Approximations 1982Estimates for the probability of ruin with special emphasis on the possibility of large claims 1988Subexponential distributions and integrated tails 1994Logarithmic asymptotics for steady-state tail probabilities in a single-server queue

Cited by

1999Appendix: A primer on heavy-tailed distributions 2006Improved algorithms for rare event simulation with heavy tails 2005Strong, Weak and False Inverse Power Laws 1999Tail probabilities for non-standard risk and queueing processes with subexponential jumps 2007Processor sharing: A survey of the mathematical theory 2007Tails of random sums of a heavy-tailed number of light-tailed terms

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1999Tail asymptotics for M/G/1 type queueing processes with subexponential incrementsarticle · 8 shared references 1999Appendix: A primer on heavy-tailed distributionsarticle · 7 shared references 2004Tail behaviour of the busy period of a GI/GI/1 queue with subexponential service timesarticle · 6 shared references 2005Light-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 typearticle · 6 shared references 1999Telecommunication traffic, queueing models, and subexponential distributionsarticle · 6 shared references 1998Ruin probabilities in the presence of heavy-tails and interest ratesarticle · 5 shared references

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Year1999

Typearticle

Published1999-02-01

VenueStochastic Processes and their Applications

ISSN-L0304-4149

Languageen

Citations97

Files0 public / 0

ShelfAdvanced Queuing Theory Analysis

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doi10.1016/s0304-4149(98)00064-7

openalex_workW2077501147

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2001

Tail Asymptotics for the Busy Period in the GI/G/1 Queue

2004Tail behaviour of the busy period of a GI/GI/1 queue with subexponential service times