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A NOTE ON THE $k$-NEAREST NEIGHBORS RULE FOR SPATIAL FUNCTIONAL DATA IN REGRESSION MODEL WITH SURROGATE SCALAR RESPONSE
Keywords:
spatial functional process, nonparametric estimation, surrogate response, supervised classificationDOI:
https://doi.org/10.17654/0972086324008Abstract
In this note, we are concerned with the problem of nonparametric classification by $k$-nearest neighbors rule for spatial functional covariate in nonparametric regression model with surrogate scalar response. We establish a finite sample bound for variance of estimator of the regression function. Then under mild conditions, we derive the consistence of $k$-nearest neighbors rule for spatial functional data belonging to a general metric space.
Received: November 15, 2023
Accepted: January 18, 2024
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