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math.ST updates on arXiv.org

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kNN estimation in semi-functional partial linear regressi...
[Submitted on 18 Jun 2026] · 2026-06-23 · via math.ST updates on arXiv.org

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Abstract:This paper considers a partial linear regression model with scalar response missing at random, one finite-dimensional covariate (a vector, $X$) and one infinite-dimensional covariate (a functional variable, $\mathcal{X}$). While the effect of $X$ on the response is linear, the effect of $\mathcal{X}$ is nonparametric. Three $k$NN-based estimators are proposed for both the vector parameter and the nonparametric operator, and some first asymptotic results are obtained.

Submission history

From: Silvia Novo [view email]
[v1] Thu, 18 Jun 2026 20:45:58 UTC (18 KB)