Moment varieties from inverse Gaussian and gamma distributions
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866910725534908416 |
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| author | Henriksson, Oskar Seccia, Lisa Yu, Teresa |
| author_facet | Henriksson, Oskar Seccia, Lisa Yu, Teresa |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_10433 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Moment varieties from inverse Gaussian and gamma distributions Henriksson, Oskar Seccia, Lisa Yu, Teresa Algebraic Geometry Commutative Algebra Statistics Theory 62R01, 13P25, 13C40, 14N05 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. |
| title | Moment varieties from inverse Gaussian and gamma distributions |
| topic | Algebraic Geometry Commutative Algebra Statistics Theory 62R01, 13P25, 13C40, 14N05 |
| url | https://arxiv.org/abs/2312.10433 |