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arXiv · 2503.07088

Asymptotic normality and strong consistency of kernel regression estimation in q-calculus

Emmanuel De Dieu Nkou·Fridolin Melong
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Abstract

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.

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Emmanuel De Dieu Nkou, Fridolin Melong. 2025-03-10. Asymptotic normality and strong consistency of kernel regression estimation in q-calculus. https://arxiv.org/abs/2503.07088

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