Leucht, AnneAnneLeuchtBeering, CarinaCarinaBeering2025-08-012025-08-012025https://fis.uni-bamberg.de/handle/uniba/109273We provide a functional central limit theorem for a broad class of smooth functions for possibly non-causal multivariate linear processes with time-varying coefficients. Since the limiting processes depend on unknown quantities, we propose a local block bootstrap procedure to circumvent this inconvenience in practical applications. In particular, we prove bootstrap validity for a very large class of processes. Our results are illustrated by some numerical examples.engbootstrapfunctional central limit theoremlinear processlocal stationarity330articleurn:nbn:de:bvb:473-irb-109273x