Nonparametric Smoothing of Directional and Axial Data
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915387393703936 |
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| author | Duembgen, Lutz Haslebacher, Caroline |
| author_facet | Duembgen, Lutz Haslebacher, Caroline |
| contents | We discuss generalized linear models for directional data where the conditional distribution of the response is a von Mises-Fisher distribution in arbitrary dimension or a Bingham distribution on the unit circle. To do this properly, we parametrize von Mises-Fisher distributions by Euclidean parameters and investigate computational aspects of this parametrization. Then we modify this approach for local polynomial regression as a means of nonparametric smoothing of distributional data. The methods are illustrated with simulated data and a data set from planetary sciences involving covariate vectors on a sphere with axial response. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17463 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonparametric Smoothing of Directional and Axial Data Duembgen, Lutz Haslebacher, Caroline Methodology Earth and Planetary Astrophysics Computation 62J12, 62H11, 62G05 We discuss generalized linear models for directional data where the conditional distribution of the response is a von Mises-Fisher distribution in arbitrary dimension or a Bingham distribution on the unit circle. To do this properly, we parametrize von Mises-Fisher distributions by Euclidean parameters and investigate computational aspects of this parametrization. Then we modify this approach for local polynomial regression as a means of nonparametric smoothing of distributional data. The methods are illustrated with simulated data and a data set from planetary sciences involving covariate vectors on a sphere with axial response. |
| title | Nonparametric Smoothing of Directional and Axial Data |
| topic | Methodology Earth and Planetary Astrophysics Computation 62J12, 62H11, 62G05 |
| url | https://arxiv.org/abs/2501.17463 |