Authors: Saralees Nadarajah
Publish Date: 2007/09/14
Volume: 44, Issue: 1, Pages: 98-101
Abstract
The recent paper by Wang et al J Supercomput 38155–172 2006 proposed a Hyper Erlang model for longtailed network traffic approximation The paper argued that traditional models such as the Pareto Weibull and log normal distributions are difficult to apply because of “their complex representations and theoretical properties” The paper went on to say that the Pareto distribution “does not have analytic Laplace transform and many other heavytailed distributions such as Weibull and log normal also do not have closedform Laplace transforms”In the following we would like to show that one can actually derive explicit expressions for Laplace transforms of heavytailed distributions The next three sections provide explicit expressions for the Laplace transforms of the Pareto Weibull and the lognormal distributions To the best of our knowledge these are the first known results on Laplace transforms of heavytailed distributions
Keywords: