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Serial-Dependence and Persistence Robust Inference in Predictive Regressions

Jean-Yves Pitarakis

arXiv 1 Feb 2025 · Econometrics

arXiv:2502.00475 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper introduces a new method for testing the statistical significance of estimated parameters in predictive regressions. The approach features a new family of test statistics that are robust to the degree of persistence of the predictors. Importantly, the method accounts for serial correlation and conditional heteroskedasticity without requiring any corrections or adjustments. This is achieved through a mechanism embedded within the test statistics that effectively decouples serial dependence present in the data. The limiting null distributions of these test statistics are shown to follow a chi-square distribution, and their asymptotic power under local alternatives is derived. A comprehensive set of simulation experiments illustrates their finite sample size and power properties.

Citation extraction

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
Phillipsunmatched citation key Phillips0.51121100%
Breitung and Demetrescuunmatched citation key Breitung and Demetrescu0.40511100%
Elmachkouri2007unmatched citation key Elmachkouri20070.40511100%
Kostakisunmatched citation key Kostakis0.40511100%
Lahiri2009unmatched citation key Lahiri20090.40511100%
Liuunmatched citation key Liu0.40511100%
Magdalinosunmatched citation key Magdalinos0.40511100%
Magdalinos and Phillipsunmatched citation key Magdalinos and Phillips0.40511100%
Magdalinos and Stamatogiannisunmatched citation key Magdalinos and Stamatogiannis0.40511100%
Peng and Caiunmatched citation key Peng and Cai0.40511100%

Showing the top 10 of 12 scored citations. 10 of these could not be matched to a bibliography entry, so only the citation key is shown.