Robust Two-Sample Mean Inference under Serial Dependence

Fuente: arXiv
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Auteurs principaux: Hounyo, Ulrich, Kim, Min Seong
Format: Preprint
Publié: 2025
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author Hounyo, Ulrich
Kim, Min Seong
author_facet Hounyo, Ulrich
Kim, Min Seong
contents We propose robust two-sample tests for comparing means in time series. The framework accommodates a wide range of applications, including structural breaks, treatment-control comparisons, and group-averaged panel data. We first consider series HAR two-sample t-tests, where standardization employs orthonormal basis projections, ensuring valid inference under heterogeneity and nonparametric dependence structures. We propose a Welch-type t-approximation with adjusted degrees of freedom to account for long-run variance heterogeneity across the series. We further develop a series-based HAR wild bootstrap test, extending traditional wild bootstrap methods to the time-series setting. Our bootstrap avoids resampling blocks of observations and delivers superior finite-sample performance.
format Preprint
id arxiv_https___arxiv_org_abs_2512_11259
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Robust Two-Sample Mean Inference under Serial Dependence
Hounyo, Ulrich
Kim, Min Seong
Econometrics
We propose robust two-sample tests for comparing means in time series. The framework accommodates a wide range of applications, including structural breaks, treatment-control comparisons, and group-averaged panel data. We first consider series HAR two-sample t-tests, where standardization employs orthonormal basis projections, ensuring valid inference under heterogeneity and nonparametric dependence structures. We propose a Welch-type t-approximation with adjusted degrees of freedom to account for long-run variance heterogeneity across the series. We further develop a series-based HAR wild bootstrap test, extending traditional wild bootstrap methods to the time-series setting. Our bootstrap avoids resampling blocks of observations and delivers superior finite-sample performance.
title Robust Two-Sample Mean Inference under Serial Dependence
topic Econometrics
url https://arxiv.org/abs/2512.11259