Since the seminal study of Leland, Taqqu, Willinger, and Wilson, which set the groundwork
for considering self‐similarity an important notion in the understanding of network traffic …

This comprehensive text gives an interesting and useful blend of the mathematical,
probabilistic and statistical tools used in heavy-tail analysis. Heavy tails are characteristic of …

Providing performance guarantees is one of the most important issues for future
telecommunication networks. This book describes theoretical developments in performance …

The recent discovery of scaling phenomena in modern communication networks involving
self-similarity or fractals and power-law or heavy-tailed distributions is yet another realization …

Because of its potential to... predict the unpredictable,... extreme value theory (EVT) and
methodology is currently receiving a great deal of attention from statistical and mathematical …

This paper takes a critical look at the usefulness of power law models of the Internet. The
twin focuses of the paper are Internet traffic and topology generation. The aim of the paper is …

Statistical evidence suggests that the autocorrelation function p (k)(k= 0, 1,...) of a
compressed-video sequence is better captured by p (k)= e/sup-/spl beta//spl radic/k/than by …

On/off models are common inputs for a variety of communication network models as well as
storage and inventory models. A stationary renewal process alternating periods of activity …

This paper gives an overview of the methods and models used for the performance
evaluation of asynchronous transfer mode (ATM)-based broad-band integrated services …

Consider an aggregate arrival process AN obtained by multiplexing N On-Off processes with
exponential Off periods of rate λ and subexponential On periods τon. As N goes to infinity …