Papers › Moment varieties of the inverse Gaussian and gamma distributions are nondefective
Moment varieties of the inverse Gaussian and gamma distributions are nondefective
Oskar Henriksson, Kristian Ranestad, Lisa Seccia, Teresa Yu
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We show that the parameters of a k-mixture of inverse Gaussian or gamma distributions are algebraically identifiable from the first 3k-1 moments, and rationally identifiable from the first 3k+2 moments. Our proofs are based on Terracini's classification of defective surfaces, careful analysis of the intersection theory of moment varieties, and a recent result on sufficient conditions for rational identifiability of secant varieties by Massarenti--Mella.
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