If a piece of information is released from a set of media sites, can it spread, in 1 month, to a
million web pages? Can we efficiently find a small set of media sites among millions that can …

The growth and evolution of the World Wide Web (WWW) has been rapid over the last ten
years and this has been caused mainly by factors such as the social Web and mobile …

PhFit, a new Phase-type fitting tool is presented in this paper. The presented tool is novel
from several aspects. It allows for approximating distributions or set of samples not only by …

Heavy-tailed distributions are typical for phenomena in complex multi-component systems
such as biometry, economics, ecological systems, sociology, web access statistics, internet …

Phase-type distributions constitute a very versatile class of distributions. They have been
used in a wide range of stochastic modelling applications in areas as diverse as …

After having worked in the domain of Gaussian queues for about a decade, we got the idea
to look at similar problems, but now in the context of Lévy-driven queues. That step felt as …

Approximating general distributions by phase-type (PH) distributions is a popular technique
in stochastic analysis, since the Markovian property of PH distributions often allows …

In recent years, various researchers have shown that network traffic that is due to world-wide
web transfers shows characteristics of self-similarity and it has been argued that this can be …

We study the scale function of the spectrally negative phase-type Lévy process. Its scale
function admits an analytical expression and so do a number of its fluctuation identities …

A necessary condition for a rational Laplace–Stieltjes transform to correspond to a matrix
exponential distribution is that the pole of maximal real part is real and negative. Given a …