Testing for the equality of k regression curves

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Specification tests in nonparametric regression (2008, background): “…in Akritas and Van Keilegom (2001), Van Keilegom and Veraverbeke (2002), Cheng (2004), Müller et al. (2004a,b), among others, whereas Dette et al. (2007), Neumeyer et al. (2006), Van Keilegom et al. (2007) and Pardo-Fernández et al. (2007) studied various testing problems under this model.”
An updated review of Goodness-of-Fit tests for regression models (2013, methodology): “See Pardo-Fernández et al. (2007b) for details on these tests.”
Smooth Residual Bootstrap for Empirical Processes of Non‐parametric Regression Residuals (2009, methodology): “In the non-parametric regression context, the smooth residual bootstrap, which will be explained throughout this work, was used in simulations and data analysis by Pardo-Fernandez et al. (2007) and Van Keilegom et al. (2008), but never has a proof for the consistency in such a context been given.”