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Bootstrap‐based inference on the difference in the means of two correlated functional processes

Bootstrap‐based inference on the difference in the means of two correlated functional processes

We propose nonparametric inference methods on the mean difference between two correlated functional processes. We compare methods that (1) incorporate different levels of smoothing of the mean and covariance; (2) preserve the sampling design; and (3) use parametric and nonparametric estimation of the mean functions. We apply our method to …