We advocate the use of certain dimensionless metrics, depending on the ratio of RTT over distance, to measure the quality of Internet paths. We have analyzed several independent samples of Internet paths, finding that the statistical distributions of these metrics are quite simple and show power-law tails. Understanding the exponents of these tails is of special interest to model-building. We e...

The postsynaptic potentials of pyramidal neurons have a non-Gaussian amplitude distribution with a heavy tail in both hippocampus and neocortex. Such distributions of synaptic weights were recently shown to generate spontaneous internal noise optimal for spike propagation in recurrent cortical circuits. However, whether this internal noise generation by heavy-tailed weight distributions is poss...

Univariate continuous distributions have three possible types of support exemplified by: the whole real line, R, the semi-finite interval R+= (0,∞) and the bounded interval (0, 1). This paper is about connecting distributions on these supports via ‘natural’ simple transformations in such a way that tail properties are preserved. In particular, this work is focussed on the case where the tails (...

[1] This study attempts to reconcile the conflicting results reported in the literature concerning the behavior of peak-over-threshold (POT) daily rainfall extremes and their distribution. By using two worldwide data sets, the impact of threshold selection and record length on the upper tail behavior of POT observations is investigated. The rainfall process is studied within the framework of ge...

In this article, we introduce the multivariate slash and skew-slash t distributions which provide alternative choices in simulating and fitting skewed and heavy tailed data. We study their relationships with other distributions and give the densities, stochastic representations, moments, marginal distributions, distributions of linear combinations and characteristic functions of the random vect...

The classical random walk of which the one-step displacement variable u has a rst nite negative moment is considered. The R.W. possesses an unique stationary distribution; x is a random variable with this distribution. It is assumed that the righthand and/or the lefthand tail of the distribution of u are heavy-tailed. For the type of heavy-tailed distribution considered in this study a contract...

The classical random walk of which the one-step displacement variable u has a rst nite negative moment is considered. The R.W. possesses an unique stationary distribution; x is a random variable with this distribution. It is assumed that the righthand and/or the lefthand tail of the distribution of u are heavy-tailed. For the type of heavy-tailed distribution considered in this study a contract...

Shortest Remaining Processing time (SRPT) has long been known to optimize the queue length distribution and the mean response time (a.k.a. flow time, sojourn time). As such, it has been the focus of a wide body of analysis. However, results about the heavy-traffic behavior of SRPT have only recently started to emerge. In this work, we characterize the growth rate of the mean response time under...