In this paper, we consider a form of the generalized logistic distribution named symmetric extended generalized logistic distribution or extended type III generalized logistic distribution. The distribution is derived by compounding a two-parameter generalized Gumbel distribution with a two-parameter generalized gamma distribution. The cumulative distribution and some properties of this distrib...

Abstract: The mathematical properties of a family of generalized beta distribution, including beta-normal, skewed-t, log-F, beta-exponential, betaWeibull distributions have recently been studied in several publications. This paper applies these distributions to the modeling of the size distribution of income and computes the maximum likelihood estimation estimates of parameters. Their performan...

In this paper, we present an algorithm for the problem of multi-channel blind deconvolution which can adapt to unknown sources with both sub-Gaussian and super-Gaussian probability density distributions using a generalized exponential source model. We use a state space representation to model the mixer and demixer respectively, and show how the parameters of the demixer can be adapted using a g...

An approach to multi-channel blind deconvolution is developed, which uses an adaptive filter that performs blind source separation in the Fourier space. The approach keeps (during the learning process) the same permutation and provides appropriate scaling of components for all frequency bins in the frequency space. Experiments indicate that Generalized Laplace Distribution can be used effective...