Testing parametric models in linear‐directional regression
@article{GarciaPortugues2016TestingPM, title={Testing parametric models in linear‐directional regression}, author={Eduardo Garc'ia-Portugu'es and Ingrid Van Keilegom and Rosa M. Crujeiras and and Wenceslao Gonz'alez-Manteiga}, journal={Scandinavian Journal of Statistics}, year={2016}, volume={43}, pages={1178 - 1191} }
This paper presents a goodness‐of‐fit test for parametric regression models with scalar response and directional predictor, that is, a vector on a sphere of arbitrary dimension. The testing procedure is based on the weighted squared distance between a smooth and a parametric regression estimator, where the smooth regression estimator is obtained by a projected local approach. Asymptotic behaviour of the test statistic under the null hypothesis and local alternatives is provided, jointly with a…
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