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Approximation of Asymmetric Multivariate Return Distributions

Ba Chu

Asia-Pacific Financial Markets, 2012, vol. 19, issue 3, 293-318

Abstract: We develop a new method to approximate the asymmetric multivariate probability density function (pdf) of financial asset returns by using series expansions; a rate of convergence for the mean absolute error of this approximation is also provided. We then propose the method of maximum likelihood and the generalized method of moments to estimate the parameters of the approximated pdf. A Monte-Carlo experiment corroborates the feasibility of our approach. Copyright Springer Science+Business Media, LLC. 2012

Keywords: Edge worth expansion; Series approximation; Asymmetric dependence; Tail risk; Mixture of the Gamma distributions; Laguerre polynomials; C60; C13; G11 (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10690-011-9150-8

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