Moment varieties from inverse Gaussian and gamma distributions

Abstract

Motivated by previous work on moment varieties for Gaussian distributions and their mixtures, we study moment varieties for two other statistically important two-parameter distributions: the inverse Gaussian and gamma distributions. In particular, we realize the moment varieties as determinantal varieties and find their degrees and singularities. We also provide computational evidence for algebraic identifiability of mixtures, and study the identifiability degree and Euclidean distance degree.

22 pages; added preliminaries section and fixed typos

References in corpus (2)

• The Hitchhiker guide to: Secant Varieties and Tensor Decomposition
• Moment Varieties for Mixtures of Products

Cited by in corpus (1)

• Moment varieties of the inverse Gaussian and gamma distributions are nondefective