Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.19303 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909973496201216 |
|---|---|
| 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 |