A wavelet-based joint estimator of the parameters of long-range dependence

D Veitch, P Abry - IEEE Transactions on Information Theory, 1999 - ieeexplore.ieee.org
A joint estimator is presented for the two parameters that define the long-range dependence
phenomenon in the simplest case. The estimator is based on the coefficients of a discrete …

Multiscale nature of network traffic

P Abry, R Baraniuk, P Flandrin… - IEEE Signal …, 2002 - ieeexplore.ieee.org
The complexity and richness of telecommunications traffic is such that one may despair to
find any regularity or explanatory principles. Nonetheless, the discovery of scaling behavior …

[HTML][HTML] Scale-free and multifractal time dynamics of fMRI signals during rest and task

P Ciuciu, G Varoquaux, P Abry, S Sadaghiani… - Frontiers in …, 2012 - frontiersin.org
Scaling temporal dynamics in functional MRI (fMRI) signals have been evidenced for a
decade as intrinsic characteristics of ongoing brain activity (Zarahn et al.,). Recently, scaling …

Seven years and one day: Sketching the evolution of internet traffic

P Borgnat, G Dewaele, K Fukuda, P Abry… - IEEE INFOCOM …, 2009 - ieeexplore.ieee.org
This contribution aims at performing a longitudinal study of the evolution of the traffic
collected every day for seven years on a trans-Pacific backbone link (the MAWI dataset) …

Interplay between functional connectivity and scale-free dynamics in intrinsic fMRI networks

P Ciuciu, P Abry, BJ He - Neuroimage, 2014 - Elsevier
Studies employing functional connectivity-type analyses have established that spontaneous
fluctuations in functional magnetic resonance imaging (fMRI) signals are organized within …

Scaling in internet traffic: a 14 year and 3 day longitudinal study, with multiscale analyses and random projections

R Fontugne, P Abry, K Fukuda, D Veitch… - IEEE/ACM …, 2017 - ieeexplore.ieee.org
In the mid 1990s, it was shown that the statistics of aggregated time series from Internet
traffic departed from those of traditional short range-dependent models, and were instead …

Non-gaussian and long memory statistical characterizations for internet traffic with anomalies

A Scherrer, N Larrieu, P Owezarski… - … on Dependable and …, 2007 - ieeexplore.ieee.org
The goals of the present contribution are twofold. First, we propose the use of a non-
Gaussian long-range dependent process to model Internet traffic aggregated time series …

[图书][B] Processes with long-range correlations: Theory and applications

G Rangarajan - 2003 - books.google.com
Processes with long range correlations occur in a wide variety of fields ranging from physics
and biology to economics and finance. This book, suitable for both graduate students and …

Real-time estimation of the parameters of long-range dependence

R Roughan, D Veitch, P Abry - IEEE/ACM transactions on …, 2000 - ieeexplore.ieee.org
An on-line version of the Abry-Veitch (see IEEE GLOBECOM'98, Sydney, Australia, p. 3716-
21, 1998) wavelet-based estimator of the Hurst parameter is presented. It has very low …

LASS: a tool for the local analysis of self-similarity

S Stoev, MS Taqqu, C Park, G Michailidis… - Computational statistics & …, 2006 - Elsevier
The Hurst parameter H characterizes the degree of long-range dependence (and asymptotic
self-similarity) in stationary time series. Many methods have been developed for the …