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Segmentation of the mean of heteroscedastic data via cross-validation

Abstract : This paper tackles the problem of detecting abrupt changes in the mean of a heteroscedastic signal by model selection, without knowledge on the variations of the noise. A new family of change-point detection procedures is proposed, showing that cross-validation methods can be successful in the heteroscedastic framework, whereas most existing procedures are not robust to heteroscedasticity. The robustness to heteroscedasticity of the proposed procedures is supported by an extensive simulation study, together with recent theoretical results. An application to Comparative Genomic Hybridization (CGH) data is provided, showing that robustness to heteroscedasticity can indeed be required for their analysis.
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https://hal.archives-ouvertes.fr/hal-00363627
Contributor : Alain Celisse Connect in order to contact the contributor
Submitted on : Wednesday, April 8, 2009 - 3:24:04 PM
Last modification on : Wednesday, November 17, 2021 - 12:29:12 PM
Long-term archiving on: : Wednesday, September 22, 2010 - 12:03:17 PM

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Sylvain Arlot, Alain Celisse. Segmentation of the mean of heteroscedastic data via cross-validation. Statistics and Computing, Springer Verlag (Germany), 2010, 21 (4), ⟨10.1007/s11222-010-9196-x⟩. ⟨hal-00363627v2⟩

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