A Note on the Finite Sample Bias in Time Series Cross-Validation

Fuente: arXiv
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Auteur principal: Lusompa, Amaze
Format: Preprint
Publié: 2025
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author Lusompa, Amaze
author_facet Lusompa, Amaze
contents It is well known that model selection via cross validation can be biased for time series models. However, many researchers have argued that this bias does not apply when using cross-validation with vector autoregressions (VAR) or with time series models whose errors follow a martingale-like structure. I show that even under these circumstances, performing cross-validation on time series data will still generate bias in general.
format Preprint
id arxiv_https___arxiv_org_abs_2512_05900
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Note on the Finite Sample Bias in Time Series Cross-Validation
Lusompa, Amaze
Methodology
Econometrics
Statistics Theory
It is well known that model selection via cross validation can be biased for time series models. However, many researchers have argued that this bias does not apply when using cross-validation with vector autoregressions (VAR) or with time series models whose errors follow a martingale-like structure. I show that even under these circumstances, performing cross-validation on time series data will still generate bias in general.
title A Note on the Finite Sample Bias in Time Series Cross-Validation
topic Methodology
Econometrics
Statistics Theory
url https://arxiv.org/abs/2512.05900