Several studies of file sizes either being downloaded or stored in
the World Wide Web have commented that tails can be so heavy that not only are
variances infinite, but so are means. Motivated by this fact, we study the
infinite node Poisson model under the assumption that transmission times are
heavy tailed with infinite mean. The model is unstable but we are able to
provide growth rates. Self-similar but nonstationary Gaussian process
approximations are provided for the number of active sources, cumulative input,
buffer content and time to buffer overflow.
Publié le : 2000-08-14
Classification:
Heavy tails,
regular variation,
Pareto tails,
self-similarity,
scaling,
data communication,
traffic modeling,
infinite source,
Poisson connections,
60K25,
60F05,
60F10,
60F17,
60G18,
60G55
@article{1019487509,
author = {Resnick, Sidney and Rootz\'en, Holger},
title = {Self-similar communication models and very heavy tails},
journal = {Ann. Appl. Probab.},
volume = {10},
number = {2},
year = {2000},
pages = { 753-778},
language = {en},
url = {http://dml.mathdoc.fr/item/1019487509}
}
Resnick, Sidney; Rootzén, Holger. Self-similar communication models and very heavy tails. Ann. Appl. Probab., Tome 10 (2000) no. 2, pp. 753-778. http://gdmltest.u-ga.fr/item/1019487509/