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The Stability Test for Symmetric Alpha-Stable Distributions [PDF]

open access: yesIEEE Transactions on Signal Processing, 2005
Symmetric alpha-stable distributions are a popular statistical model for heavy-tailed phenomena encountered in communications, radar, biomedicine, and econometrics. The use of the symmetric alpha stable model is often supported by empirical evidence, where qualitative criteria are used to judge the fit, leading to subjective decisions.
A M Zoubir, D R Iskander
exaly   +5 more sources

Blind Source Separation Using Mixtures of Alpha-Stable Distributions [PDF]

open access: yes2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2018
International Conference on Acoustics, Speech and Signal Processing (ICASSP), Apr 2018, Calgary ...
Keriven, Nicolas   +2 more
exaly   +7 more sources
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On the Testing for Alpha-Stable Distributions of Network Traffic

Computer Communications, 2004
We demonstrate that the distribution of packet arrival and the distribution of byte arrival in Ethernet network traffic are the alpha-stable distributions. Our conclusions are supported by rigorous statistical analyses of one million packets measured from the actual network traffic and three different statistical methods, coupled with a discussion of ...
Xiaohu Ge, Guangxi Zhu
exaly   +3 more sources

Indirect Estimation of α-Stable Distributions and Processes [PDF]

open access: possibleThe Econometrics Journal, 2008
Summary: The \(\alpha \)-stable family of distributions constitutes a generalization of the Gaussian distribution, allowing for asymmetry and thicker tails. Its practical usefulness is coupled with a marked theoretical appeal, as it stems from a generalized version of the central limit theorem in which the assumption of the finiteness of the variance ...
M. J. LOMBARDI, CALZOLARI, GIORGIO
openaire   +3 more sources

On parameter estimation of symmetric alpha-stable distribution

2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2016
In this paper, a novel approach has been proposed for estimating the parameters of symmetric alpha-stable distribution with 1 < a < 2. Alpha-stable distribution can model the statistical behavior of non-Gaussian heavy tailed signals and noises with impulsive components.
Mohammadreza Hassannejad Bibalan   +1 more
openaire   +2 more sources

Why Using the Alpha-stable Distribution in Neuroimage?

Proceedings of the 11th International Conference on Signal Processing and Multimedia Applications, 2014
The main goal and overall objective of this contribution is to attract the attention of the potentialities and wide range of applications of the α-stable distribution in biomedical applications, specifically in neuroimaging. The α-stable density is a heavy-tailed, non-symmetric distribution with similar desirable properties to the Gaussian. Indeed, the
Diego Salas-Gonzalez   +3 more
openaire   +1 more source

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