We investigate the large-sample behavior of change-point tests based on weighted two-sample U-statistics, in the case of short-range dependent data. Under some mild mixing conditions, we establish convergence of the test statistic to an extreme value distribution. A simulation study shows that the weighted tests are superior to the non-weighted versions when the change-point occurs near the boundary of the time interval, while they loose power in the center.
H. Dehling and K. Vuk were supported by the Collaborative Research Grant SFB 823 Statistical modelling of nonlinear dynamic processes. M. Wendler was supported by the German Research Foundation (DFG), project WE 5988/3 Analyse funktionaler Daten ohne Dimensionsreduktion.
"Change-point detection based on weighted two-sample U-statistics." Electron. J. Statist. 16 (1) 862 - 891, 2022. https://doi.org/10.1214/21-EJS1964