Function-indexed empirical processes based on an infinite source Poisson transmission stream

DOI10.3150/11-BEJ367zbMath1259.60036arXiv1004.2182OpenAlexW2084851255MaRDI QIDQ442075

Philippe Soulier, Gennady Samorodnitsky, François Roueff

Publication date: 9 August 2012

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.2182

zbMATH Keywords

empirical processlong range dependenceshot noiseM/G queue

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Functional limit theorems; invariance principles (60F17)

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The tail process and tail measure of continuous time regularly varying stochastic processes ⋮ Discrete-time trawl processes

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