Methods for prefix coding integers generally either consider specific distributions that decline more quickly than a power law (for Golomb-like codes) or simultaneously consider all finite-entropy distributions (for universal codes). Particular power-law and similar distributions, however, are often known to model particular random variables. Codes for such distributions can be judged based on ...

In this paper we will show that, the non-Gaussian statistics framework based on the Kaniadakis statistics is more appropriate to fit the observed distributions of projected rotational velocity measurements of stars in the Pleiades open cluster. To this end, we compare the results from the κ and q-distributions with the Maxwellian. Copyright c © EPLA, 2008 Introduction. – Some restrictions to th...

Figure 1: Distributions of the numbers of connections at varying distances are schematized in log-log coordinates. The straight line indicates power-law 1/f. Scale­free dynamics of neocortex are characterized by hierarchical self-similarities of patterns of synaptic connectivity and spatiotemporal neural activity, seen in power-law distributions of structural and functional parameters and in ra...

BACKGROUND Accumulating evidence has shown a universality in the temporal organization of activity and rest among animals ranging from mammals to insects. Previous reports in both humans and mice showed that rest bout durations followed long-tailed (i.e., power-law) distributions, whereas activity bouts followed exponential distributions. We confirmed similar results in the fruit fly, Drosophil...

The poweRlaw package provides code to fit heavy tailed distributions, including discrete and continuous power-law distributions. The fitting procedure follows the method detailed in Clauset et al.1. The parameter 1 A. Clauset, C.R. Shalizi, and M.E.J. Newman. Power-law distributions in empirical data. SIAM review, 51(4):661– 703, 2009 values are obtained by maximising the likelihood. The cut-of...

Distributed denial of service attacks (DDoS) are a constant problem of network operators today. Thanks to low cost of entry, high effectiveness, and the difficulty present in filtering out such attacks from inbound network traffic, DDoS attacks are relatively common and difficult to mitigate against. Recent discoveries regarding the conformity of network traffic to certain power law distributio...

Heavy-tailed or power-law distributions are becoming increasingly common in biological literature. A wide range of biological data has been fitted to distributions with heavy tails. Many of these studies use simple fitting methods to find the parameters in the distribution, which can give highly misleading results. The potential pitfalls that can occur when using these methods are pointed out, ...

Identification of the vertical and horizontal distributions for elemental grades is of an important sign in different mineral exploration stages. The main aim of this work is to determine the vertical distribution directional properties of Cu values in the Milloieh Cu porphyry deposit, Kerman (SE Iran) using the power-law frequency fractal model. This work is carried out based on four mineraliz...