Conditional quantile analysis when covariates are functions, with application to growth data

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Conditional transformation models (2012, methodology): “In the context of longitudinal data with functional explanatory variables, Chen and Müller (2012) considered a similar model, where the regression coefficients for functional principal components may depend on time t and the response Yx.”
Estimation in functional linear quantile regression (2012, methodology): “[11] considered an “indirect” estimation of conditional quantiles.”