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Simple techniques for likelihood analysis of univariate and multivariate stable distributions: with extensions to multivariate stochastic volatility and dynamic factor models
Univariate and multivariatestable distributions MCMC Approximate,Aayesian,Computation Characteristic function
2012/11/21
In this paper we consider a variety of procedures for numerical statistical inference in the family of univariate and multivariate stable distributions. In connection with univariate distributions (i)...
Fourier and Cauchy-Stieltjes transforms of power laws including stable distributions
Fourier transform Cauchy-Stieltjes transform stable distribution non-commutative probability Diophantine approximation
2011/9/15
Abstract: The Pareto distribution is a basic probability distribution which shows power-law behaviour and has various kinds of applications. In this paper, we introduce a class of probability measures...
In this paper, we show new representations of one-sided L\'{e}vy stable distributions for irrational L\'{e}vy indices of the type $\left(\frac{p}{q}\right)^{\frac{l_{2}}{l_{1}}}$ which are not covered...
On the class of operator stable distributions in a separable Banach space
the class of operator stable distributions a separable Banach space
2009/9/23
On the class of operator stable distributions in a separable Banach space。