Heavy tailed durations of regional rainfall

Extremal behavior of heavy - tailed transmission durations

Variable Heavy Tailed Durations in Internet

A Statistical Rainfall-Runoff Mixture Model with Heavy-Tailed Components

1 We present a conditional density model of river runoff given covariate information 2 which includes precipation at four surrounding stations. The proposed model is non3 parametric in the central part of the distribution and relies on Extreme-Value Theory 4 parametric assumptions for the upper tail of the distribution. From the trained con5 ditional density model, we can compute quantiles of v...

Variable Heavy Tailed Durations in Internet Traffic, Part I: Understanding Heavy Tails

This paper is part of a larger paper that studies tails of the duration distribution of Internet data flows, and their “heaviness”. Data analysis motivates the concepts of moderate, far and extreme tails for understanding the richness of information available in the data. The analysis also motivates a notion of “variable tail index”, which leads to a generalization of existing theory for heavy ...

On the relevance of long-tailed durations

In this paper we obtain large deviation bounds for the queue length in a buffer fed by an M=G=1 process with G long-tailed, and in the limit that the arrival intensity grow to infinity along with the service rate so as to keep the offered load constant. This provides an example in which long-tailed arrival distributions are no bar to obtaining statistical multiplexing gain when such arrivals ar...