Conditional Quantiles for Dependent Functional Data with Application to the Climatic El Niño Phenomenon

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The functional linear array model (2015, methodology): “A fundamentally different approach is pursued by Ferraty et al. (2005, 2007) who estimate scalar-on-function regression models nonparametrically using kernel methods, yielding predictions but no interpretable models.”
Estimation in functional linear quantile regression (2012, methodology): “[18] considered nonparametric estimation of conditional quantiles imsart-generic ver.”
Nonparametric modelling for functional data: selected survey and tracks for future (2018, background): “Extension of Equation (8) for a dependent sample is presented in [94].”
Asymptotic Results of a Nonparametric Conditional Quantile Estimator for Functional Time Series (2008, unknown): “The manner to transform this times series to functional data can be found in Ferraty et al. (2005) and here we show only a sample of 54 dependent functional data (see Fig.”
Cross-validated estimations in the single-functional index model (2008, background): “Typically, an observation of a functional variable can be a spectrometric curve (see [9]), a radar waveform (see [10–12]), a period of a time series (for instance, a period of the El Ninño sea surface temperature described in [13]).”