A Frequency-Domain NonStationarity Test for dependent data
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917047968989184 |
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| author | Haye, Mohamedou Ould Philippe, Anne |
| author_facet | Haye, Mohamedou Ould Philippe, Anne |
| contents | Distinguishing long-memory behaviour from nonstationarity is challenging, as both produce slowly decaying sample autocovariances. Existing stationarity tests either fail to account for long-memory processes or exhibit poor empirical size, particularly near the boundary between stationarity and nonstationarity. We propose a new, parameter-free testing procedure based on the evaluation of periodograms across multiple epochs. The limiting distributions derived here are obtained under stationarity and nonstationarity assumptions and analytically tractable, expressed as finite sums of weighted independent $χ^2$ random variables. Simulation studies indicate that the proposed method performs favorably compared to existing approaches. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_24319 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Frequency-Domain NonStationarity Test for dependent data Haye, Mohamedou Ould Philippe, Anne Methodology Statistics Theory Distinguishing long-memory behaviour from nonstationarity is challenging, as both produce slowly decaying sample autocovariances. Existing stationarity tests either fail to account for long-memory processes or exhibit poor empirical size, particularly near the boundary between stationarity and nonstationarity. We propose a new, parameter-free testing procedure based on the evaluation of periodograms across multiple epochs. The limiting distributions derived here are obtained under stationarity and nonstationarity assumptions and analytically tractable, expressed as finite sums of weighted independent $χ^2$ random variables. Simulation studies indicate that the proposed method performs favorably compared to existing approaches. |
| title | A Frequency-Domain NonStationarity Test for dependent data |
| topic | Methodology Statistics Theory |
| url | https://arxiv.org/abs/2510.24319 |