The Wiley Paperback Series makes valuable content more accessible to a new generation
of statisticians, mathematicians and scientists. Stochastic Processes for Insurance and …

Heavy tails–extreme events or values more common than expected–emerge everywhere:
the economy, natural events, and social and information networks are just a few examples …

The estimation of P (Sn> u) by simulation, where Sn is the sum of independent, identically
distributed random varibles Y1,…, Yn, is of importance in many applications. We propose …

Pareto, Zipf and numerous subsequent investigators of inverse power distributions have
often represented their findings as though their data conformed to a power law form for all …

A primer on heavy—tailed distributions * Page 1 ueuein S stems 33 1999 2617275 261 Q gy ( )
Appendix: A primer on heavy—tailed distributions * Karl Si gman Department of Industrial …

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 …

During last few decades the Egalitarian Processor Sharing (EPS) has gained a prominent
role in applied probability, especially, in queueing theory and its computer applications …

Over the past few decades, the Processor-Sharing (PS) discipline has attracted a great deal
of attention in the queueing literature. While the PS paradigm emerged in the sixties as an …

Queueing theory occupies a prominent role in the performance analysis of a wide range of
systems in computer-communications, logistics, and manufacturing. One of the pillars of …

A well-known result on the distribution tail of the maximum of a random walk with heavy-
tailed increments is extended to more general stochastic processes. Results are given in …