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Variance Estimation with Dependence and Heterogeneous Means

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  • Luther Yap

Abstract

This paper considers the problem of estimating the variance of a sum of a triangular array of random vectors with heterogeneous means. When random vectors exhibit two-way cluster dependence or weak dependence, standard variance estimators designed under homogeneous means can underestimate the true variance, which results in subsequent tests being oversized. To restore validity, this paper proposes a simple conservative variance estimator robust to heterogeneous means and shows its asymptotic validity.

Suggested Citation

  • Luther Yap, 2026. "Variance Estimation with Dependence and Heterogeneous Means," Papers 2603.11497, arXiv.org.
    • Handle: RePEc:arx:papers:2603.11497
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    References listed on IDEAS

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    8. Yap, Luther, 2025. "Asymptotic theory for two-way clustering," Journal of Econometrics, Elsevier, vol. 249(PB).
    9. Ruonan Xu & Luther Yap, 2024. "Clustering with Potential Multidimensionality: Inference and Practice," Papers 2411.13372, arXiv.org.
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