Results 251 to 260 of about 3,545,087 (293)

Finite mixture of α-stable distributions

Digital Signal Processing, 2009
Over the last decades, the ±-stable distribution has proved to be a very efficient model for impulsive data. In this paper, we propose an extension of stable distributions, namely mixture of ±-stable distributions to model multimodal, skewed and impulsive data.
Diego Salas-Gonzalez, Ercan E. Kuruoglu, Diego P. Ruiz 0001   +2 more
openaire   +3 more sources

Broadband beamforming with alpha-stable distributions

Conference Record of The Twenty-Ninth Asilomar Conference on Signals, Systems and Computers, 2002
In this paper, we study the problem of localizing wide-band sources in the presence of noise modeled as a complex isotropic stable process. We consider the frequency-domain representation of the sensor outputs and show that the spectral density of complex stable processes plays a role, in array processing problems, analogous to that played by the power
P. Tsakalides, C.L. Nikias
openaire   +1 more source

Analysis of Shearlet Coefficients Based on Alpha Stable Distribution

2017 IEEE International Conference on Smart Cloud (SmartCloud), 2017
In this paper, we take into account that alpha stable distribution can be used as distribution model for shearlet coefficients, which is more precise than gaussian mixture model and generalized gaussian model. To support this idea, we do lots of experiments, the experimental result verify the suppose.
Xiaofei Yang, Guangqian Xie, Xiaodong Yu, Yong Shi   +3 more
openaire   +2 more sources

Alpha-stable distribution for SAR image classification

Remote Sensing Letters, 2013
Alpha-stable distribution is utilized to model statistical property of synthetic aperture radar (SAR) image, but it is still a challenge to accurately estimate their parameters due to the lack of analytical expression for its probability density function. A new estimator called pseudo simulated annealing (PSA) is introduced. Simulation results show the
Yi-Jin Peng, Xin Xu, Hui Song
openaire   +1 more source

Application of the positive alpha-stable distribution

Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics, 2002
Many physical phenomena are non-Gaussian and if the observed data have frequently occurring extreme values, then the phenomena may be modeled as a random process with an alpha-stable distribution. When positive and negative outcomes are equally likely, then the process would be symmetric alpha-stable (S/spl alpha/S); however when only positive outcomes
openaire   +1 more source

Testing of alpha-stable distributions with the characteristic function

Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics. SPW-HOS '99, 2003
We describe a test for the alpha-stable (/spl alpha/S) distribution based on the characteristic function (cf) by drawing on a cf based Gaussianity test and the parametric bootstrap procedure. High rejection rates are achieved against most alternative distributions, except the t/sub 2/ distribution which is found to be similar to a stable distribution ...
C.L. Brown, S. Saliu
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Modeling the displaced frame difference as an alpha-stable distribution

Proceedings of International Conference on Image Processing, 2002
We propose a probabilistic model of the displaced frame difference (DFD) within a region based on symmetric alpha-stable distributions. The motivation for this model lies an the robust estimation of motion. When the usual assumption of a single motion within a region is violated the observed DFD distribution shows heavier tails than those of the ...
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Analysis Stable and Alpha Stable Distribution in MATLAB

SSRN Electronic Journal, 2020
Stable distributions are a rich class of probability distributions that allow skewness and heavy tails and have many intriguing mathematical properties. The class was characterized by Paul Levy in his study of sums of independent identically distributed terms in the 1920’s.
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Skewed α-stable distributions for modelling textures

Pattern Recognition Letters, 2003
In this letter, we introduce a novel family of texture models which provide alternatives to texture models which are based on Gaussian distributions. In particular, we introduce linear textures generated with a member of the alpha-stable distribution family which is a generalisation of the Gaussian distribution.
Ercan E. Kuruoglu, Josiane Zerubia
openaire   +4 more sources

A Reparameterization of the Symmetric $\alpha$-Stable Distributions and Their Dispersive Ordering

Theory of Probability & Its Applications, 2001
Summary: A reparametrization of symmetric \(\alpha\)-stable distributions is proposed such that the ordering of distributions according to the value of parameters amounts to their dispersive ordering. A statistical application is presented.
openaire   +1 more source