Injectivity of real rational mappings: the case of a mixture of two Gaussian laws

Daniel Lazard

Mathematics and Computers in Simulation (MATCOM), 2004, vol. 67, issue 1, 67-84

Abstract: Using methods from computer algebra, especially Gröbner bases, we study the application which maps the mixtures of two Gaussian laws of probability to their six first moments. It is proved that the mapping is injective, and thus that the parameters of the mixture may be recovered from the values of the moments.

Keywords: Rational mapping; Gröbner basis; Parametric polynomial system; Mixture of Gaussian laws (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:67:y:2004:i:1:p:67-84

DOI: 10.1016/j.matcom.2004.05.009

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