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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2503.07088 |
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| _version_ | 1866917949955112960 |
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| author | Nkou, Emmanuel De Dieu Melong, Fridolin |
| author_facet | Nkou, Emmanuel De Dieu Melong, Fridolin |
| contents | We construct a family of estimators for a regression function based on a sample following a qdistribution. Our approach is nonparametric, using kernel methods built from operations that leverage the properties of q-calculus. Furthermore, under appropriate assumptions, we establish the weak convergence and strong consistency of this family of estimators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_07088 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic normality and strong consistency of kernel regression estimation in q-calculus Nkou, Emmanuel De Dieu Melong, Fridolin Statistics Theory 05A30, 62G05, 62G07 We construct a family of estimators for a regression function based on a sample following a qdistribution. Our approach is nonparametric, using kernel methods built from operations that leverage the properties of q-calculus. Furthermore, under appropriate assumptions, we establish the weak convergence and strong consistency of this family of estimators. |
| title | Asymptotic normality and strong consistency of kernel regression estimation in q-calculus |
| topic | Statistics Theory 05A30, 62G05, 62G07 |
| url | https://arxiv.org/abs/2503.07088 |