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arXiv · 2511.18524

Multiple change-points detection based on U-Statistics under weak dependence

Joseph Ngatchou-Wandji·Echarif Elharfaoui·Michel Harel
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Abstract

We study multiple change-points detection using multi-samples tests based on U-statistics for absolutely regular observations. Our results extend those of Ngatchou-Wandji et al. (2022) concerned with the study of one single changepoint. The asymptotic distributions of the test statistics under the null hypothesis and under a sequence of local alternatives are given explicitly, and the tests are shown to be consistent. A small set of simulations is done for evaluating the performance of the tests in detecting multiple changes in the mean, variance and autocorrelation of some simple times series models.

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Joseph Ngatchou-Wandji, Echarif Elharfaoui, Michel Harel. 2025-11-23. Multiple change-points detection based on U-Statistics under weak dependence. https://arxiv.org/abs/2511.18524

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