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- W4288280976 abstract "Regressing a scalar response on a random function is nowadays a common situation. In the nonparametric setting, this paper paves the way for making the local linear regression based on a projection approach a prominent method for solving this regression problem. Our asymptotic results demonstrate that the functional local linear regression outperforms its functional local constant counterpart. Beyond the estimation of the regression operator itself, the local linear regression is also a useful tool for predicting the functional derivative of the regression operator, a promising mathematical object on its own. The local linear estimator of the functional derivative is shown to be consistent. On simulated datasets we illustrate good finite sample properties of both proposed methods. On a real data example of a single-functional index model we indicate how the functional derivative of the regression operator provides an original and fast, widely applicable estimating method." @default.
- W4288280976 created "2022-07-28" @default.
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- W4288280976 date "2019-07-18" @default.
- W4288280976 modified "2023-10-18" @default.
- W4288280976 title "Scalar-on-function local linear regression and beyond" @default.
- W4288280976 doi "https://doi.org/10.48550/arxiv.1907.08074" @default.
- W4288280976 hasPublicationYear "2019" @default.
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