Testing for integer integration in functional time series
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912798813978624 |
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| author | Seo, Won-Ki Shang, Han Lin |
| author_facet | Seo, Won-Ki Shang, Han Lin |
| contents | We develop a statistical testing procedure to examine whether the curve-valued time series of interest is integrated of order d for an integer d. The proposed procedure can distinguish between integer-integrated time series and fractionally-integrated ones, and it has broad applicability in practice. Monte Carlo simulation experiments show that the proposed testing procedure performs reasonably well. We apply our methodology to Canadian yield curve data and French sub-national age-specific mortality data. We find evidence that these time series are mostly integrated of order one, while some have fractional orders exceeding or falling below one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23960 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Testing for integer integration in functional time series Seo, Won-Ki Shang, Han Lin Methodology 37M10, 62F03 We develop a statistical testing procedure to examine whether the curve-valued time series of interest is integrated of order d for an integer d. The proposed procedure can distinguish between integer-integrated time series and fractionally-integrated ones, and it has broad applicability in practice. Monte Carlo simulation experiments show that the proposed testing procedure performs reasonably well. We apply our methodology to Canadian yield curve data and French sub-national age-specific mortality data. We find evidence that these time series are mostly integrated of order one, while some have fractional orders exceeding or falling below one. |
| title | Testing for integer integration in functional time series |
| topic | Methodology 37M10, 62F03 |
| url | https://arxiv.org/abs/2503.23960 |