Abstract
A sizable amount of goodness-of-fit tests involving functional data have appeared in the last decade. We provide a relatively compact revision of most of these contributions, within the independent and identically distributed framework, by reviewing goodness-of-fit tests for distribution and regression models with functional predictor and either scalar or functional response.
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Acknowledgements
The authors acknowledge the support of project MTM2016-76969-P, PGC2018-097284-B-100, and IJCI-2017-32005 from the Spain’s Ministry of Economy and Competitiveness. All three grants were partially co-funded by the European Regional Development Fund (ERDF). The support by Competitive Reference Groups 2017–2020 (ED431C 2017/38) from the Xunta de Galicia through the ERDF is also acknowledged.
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González-Manteiga, W., Crujeiras, R.M., García-Portugués, E. (2023). A Review of Goodness-of-Fit Tests for Models Involving Functional Data. In: Balakrishnan, N., Gil, M.Á., Martín, N., Morales, D., Pardo, M.d.C. (eds) Trends in Mathematical, Information and Data Sciences. Studies in Systems, Decision and Control, vol 445. Springer, Cham. https://doi.org/10.1007/978-3-031-04137-2_29
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