Mean shift testing in correlated data

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Changepoints in the North Atlantic Tropical Cyclone Record (2011, unknown): “Further simulations in Robbins et al. (2011) demonstrate that asymptotic changepoint tests similar to the ones used in this article tend to be conservative.”
Structural breaks in time series (2013, methodology): “The distribution of M has been tabulated, for example in Shorack and Wellner (1986), and can therefore be used to construct tests that hold a pre-specified asymptotic level a.”