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literature (see, for example, the monographs of Bosq, 2000; Ramsay and Silverman, 2005; Ferraty and Vieu, 2010; Horváth and Kokoszka, 2012; Hsing and Eubank, 2015, among others). In FDA the considered parameters [...] confidence band for the regression function in a model with a stationary series errors and Zhou (2010) derives a simultaneous confidence band in quantile regression model with locally stationary errors [...] bootstrap methods for inference by simultaneous confidence bands in other con- texts (see Zhou and Wu, 2010; Wang et al., 2020; Karmakar et al., 2021, among others). Note that for a given k the random variables …