Two Samples Tests for Functional Data

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Bootstrap-based testing of equality of mean functions or equality of covariance operators for functional data (2016, background): “Similarly, in the two-sample problem, Zhang et al. (2010) have considered a bootstrap procedure that generates functional pseudo-observations that do not satisfy the null hypothesis and whose validity depends on the test statistic.”
Testing relevant hypotheses in functional time series via self‐normalization (2018, methodology): “As an alternative, bootstrap methods can be applied to obtain critical values and we refer to Benko et al. (2009), Cuevas et al. (2006), Zhang et al. (2010), Bucchia and Wendler (2017) and Paparoditis and Sapatinas (2016) among many others.”