Signal processing with alpha-stable distributions and applications
Signal processing with alpha-stable distributions and applications
Finite mixture of α-stable distributions
Digital Signal Processing
A heavy-tailed empirical Bayes method for replicated microarray data
Computational Statistics & Data Analysis
Bayesian segmentation of magnetic resonance images using the α-stable distribution
HAIS'11 Proceedings of the 6th international conference on Hybrid artificial intelligent systems - Volume Part I
A survey on computing Lévy stable distributions and a new MATLAB toolbox
Signal Processing
Parameterization of the distribution of white and grey matter in MRI using the α-stable distribution
Computers in Biology and Medicine
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The stable distribution is a very useful tool to model impulsive data. In this work, a fully Bayesian mixture of symmetric stable distribution model is presented. Despite the non-existence of closed form for @a-stable distributions, the use of the product property make it possible to infer on parameters using a straightforward Gibbs sampling. This model is compared to the mixture of Gaussians model. Our proposed methodology is proved to be more robust to outliers than the mixture of Gaussians. Therefore, it is suitable to model mixture of impulsive data. Moreover, as Gaussian is a particular case of the @a-stable distribution, the proposed model is a generalization of mixture of Gaussians. Mixture of symmetric @a-stable is intensively tested in both, simulated and real data.