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Cited by 299

The DOI matches its Crossref record; 69 of the 69 references it cites were found in a registry or an index.

t-Statistic Based Correlation and Heterogeneity Robust Inference

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Ibragimov, Rustam, Müller, Ulrich K.·2010·Journal of Business & Economic Statistics

Abstract

We develop a general approach to robust inference about a scalar parameter when the data is potentially heterogeneous and correlated in a largely unknown way. The key ingredient is the following result of Bakirov and Sz´ekely (2005) concerning the small sample properties of the standard t-test: For a significance level of 5% or lower, the t-test remains conservative for underlying observations that are independent and Gaussian with heterogenous variances. One might thus conduct robust large sample inference as follows: partition the data into q ≥ 2 groups, estimate the model for each group and conduct a standard t-test with the resulting q parameter estimators. This results in valid inference as long as the groups are chosen in a way that ensures the parameter estimators to be asymptotically independent, unbiased and Gaussian of possibly different variances. We provide examples of how to apply this approach to time series, panel, clustered and spatially correlated data.

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Research works printed but not linked: 2

  1. Bakirov N. K., 2005, Zapiski Nauchnyh Seminarov POMI, 328, 5
  2. Rogers W. H., 1993, Stata Technical Bulletin, 13, 19

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Metadata

Authors
Ibragimov, R., & Müller, U. K.
Venue
Journal of Business & Economic Statistics
Published
2010-10
Volume
28
Issue
4
Pages
453-468
ISSN
  • 0735-0015 (ISSN-L)
  • 1537-2707
OpenAlex
W3122427323
Cited by
299
References
69
FWCI
9.57
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: t-Statistic Based Correlation and Heterogeneity Robust Inference. https://app.cochat.ai/papers/10.1198/jbes.2009.08046
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Ibragimov, R., & Müller, U. K. (2010). t-Statistic Based Correlation and Heterogeneity Robust Inference. Journal of Business & Economic Statistics. https://doi.org/10.1198/jbes.2009.08046

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