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Modeling teletraffic arrivals by a Poisson cluster process · Study

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ArticleModeling teletraffic arrivals by a Poisson cluster process

Gilles Faÿ2006

Article2006

Modeling teletraffic arrivals by a Poisson cluster process

Gilles Faÿ · Bárbara González-Arévalo · Thomas Mikosch · Gennady Pinkhosovich Samorodnitsky

80 citations·0/0 files stored·Queueing Systems

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Advanced Queuing Theory Analysis Point processes and geometric inequalities Probability and Risk Models

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References

1997Modelling Extremal Events 1994Modelling of extremal events in insurance and finance 1987Extreme Values, Regular Variation and Point Processes 2003Elements of Queueing Theory 1988Stopped Random Walks 2010Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences 2002Is Network Traffic Appriximated by Stable Lévy Motion or Fractional Brownian Motion?1998Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models

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2010Asymptotics of randomly stopped sums in the presence of heavy tails 2018Functional central limit theorems for stationary Hawkes processes and application to infinite-server queues 2007Tails of random sums of a heavy-tailed number of light-tailed terms 2008Tail probabilities for infinite series of regularly varying random vectors 2008Tail behavior of random sums under consistent variation with applications to the compound renewal risk model 2011

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Year2006

Typearticle

Published2006-09-29

VenueQueueing Systems

ISSN-L0257-0130

Languageen

Citations80

Files0 public / 0

ShelfAdvanced Queuing Theory Analysis

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doi10.1007/s11134-006-9348-z

openalex_workW1975913033

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Random walk to innovation: Why productivity follows a power law

2007Scaling Limits for Cumulative Input Processes