Simple Cubic Variance Functions on $\R^n$, Part one
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909973496201216 |
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| author | Hassairi, Abdelhanid Letac, Gérard |
| author_facet | Hassairi, Abdelhanid Letac, Gérard |
| contents | The classification of natural exponential families started with the paper \cite {Morri} where Carl Morris unifies six very familiar families by the fact that their variance functions are polynomials of degree less or equal to two. Extension of this classification to $\R^n$ and to degree three is the subject of this paper.
Keywords: Actions of the group $GL(n+1,\R)$, classification of natural exponential families, multivariate Lagrange formula. variance functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19303 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simple Cubic Variance Functions on $\R^n$, Part one Hassairi, Abdelhanid Letac, Gérard Statistics Theory 62E10 The classification of natural exponential families started with the paper \cite {Morri} where Carl Morris unifies six very familiar families by the fact that their variance functions are polynomials of degree less or equal to two. Extension of this classification to $\R^n$ and to degree three is the subject of this paper. Keywords: Actions of the group $GL(n+1,\R)$, classification of natural exponential families, multivariate Lagrange formula. variance functions. |
| title | Simple Cubic Variance Functions on $\R^n$, Part one |
| topic | Statistics Theory 62E10 |
| url | https://arxiv.org/abs/2512.19303 |