On the singularity of the Fisher Information matrix in the sine-skewed family on the d-dimensional torus
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914368790200320 |
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| author | Schutte, Emily Loizidou, Sophia Laheurte, Vincent |
| author_facet | Schutte, Emily Loizidou, Sophia Laheurte, Vincent |
| contents | Skewed distributions are fundamental in modelling asymmetric data on the d-dimensional torus. In this context, asymmetry is introduced through the sine-skewing mechanism, which is the only skewing mechanism that has been proposed on the hyper-torus in the literature. Some sine-skewed models are known to suffer from a singular Fisher information matrix in the vicinity of symmetry, which poses a significant issue for inferential purposes. It is an open question to determine for which sine-skewed models Fisher information singularity occurs. In this paper, a general characterization of the class of models that exhibit this singularity is given in the general d-dimensional setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04369 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the singularity of the Fisher Information matrix in the sine-skewed family on the d-dimensional torus Schutte, Emily Loizidou, Sophia Laheurte, Vincent Statistics Theory Skewed distributions are fundamental in modelling asymmetric data on the d-dimensional torus. In this context, asymmetry is introduced through the sine-skewing mechanism, which is the only skewing mechanism that has been proposed on the hyper-torus in the literature. Some sine-skewed models are known to suffer from a singular Fisher information matrix in the vicinity of symmetry, which poses a significant issue for inferential purposes. It is an open question to determine for which sine-skewed models Fisher information singularity occurs. In this paper, a general characterization of the class of models that exhibit this singularity is given in the general d-dimensional setting. |
| title | On the singularity of the Fisher Information matrix in the sine-skewed family on the d-dimensional torus |
| topic | Statistics Theory |
| url | https://arxiv.org/abs/2603.04369 |