Linear regression with stable disturbances
A practical guide to heavy tails
Numerical approximation of the symmetric stable distribution and density
A practical guide to heavy tails
Univariate stable distributions: parameterizations and software
A practical guide to heavy tails
Estimation of stable spectral measures
Mathematical and Computer Modelling: An International Journal
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A method of estimating the spectral representation of a generalized bivariatestable distribution is presented, based on a series of maximum likelihood (ML)estimates of the stable parameters of univariate projections of the data. Thecorresponding stable spectral density is obtained by solving a quadraticprogram. The proposed method avoids the often arduous task of computing themultivariate stable density, relying instead on the standard univariate stabledensity. The paper applies this projection procedure, under the simplifyingassumption of symmetry, to simulated data as well as to foreign exchangereturn data, with favorable results. Kanter projection coefficients governingconditional expectations are computed from the estimated spectral density. For the simulated data these compare well to their known true values.