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Improved inference on the rank of a matrix

Author

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  • Qihui Chen
  • Zheng Fang

Abstract

This paper develops a general framework for conducting inference on the rank of an unknown matrix Π0. A defining feature of our setup is the null hypothesis of the form H0:rank(Π0)≤r. The problem is of first‐order importance because the previous literature focuses on H0′:rank(Π0)=r by implicitly assuming away rank(Π0)

Suggested Citation

  • Qihui Chen & Zheng Fang, 2019. "Improved inference on the rank of a matrix," Quantitative Economics, Econometric Society, vol. 10(4), pages 1787-1824, November.
    • Handle: RePEc:wly:quante:v:10:y:2019:i:4:p:1787-1824
    DOI: 10.3982/QE1139
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    Citations

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    Cited by:

    1. Zheng Fang & Juwon Seo, 2021. "A Projection Framework for Testing Shape Restrictions That Form Convex Cones," Econometrica, Econometric Society, vol. 89(5), pages 2439-2458, September.
    2. Chen, Qihui, 2021. "Robust and optimal estimation for partially linear instrumental variables models with partial identification," Journal of Econometrics, Elsevier, vol. 221(2), pages 368-380.
    3. Qihui Chen & Zheng Fang & Xun Huang, 2021. "Implementing an Improved Test of Matrix Rank in Stata," Papers 2108.00511, arXiv.org.
    4. Hongyi Jiang & Zhenting Sun & Shiyun Hu, 2023. "A Nonparametric Test of $m$th-degree Inverse Stochastic Dominance," Papers 2306.12271, arXiv.org, revised Jul 2023.
    5. Wenjie Wang & Yichong Zhang, 2021. "Wild Bootstrap for Instrumental Variables Regressions with Weak and Few Clusters," Papers 2108.13707, arXiv.org, revised Jan 2024.
    6. Cizek, Pavel & Sadikoglu, Serhan, 2022. "Nonseparable Panel Models with Index Structure and Correlated Random Effects," Other publications TiSEM 7899deb9-0eda-47e6-a3b8-2, Tilburg University, School of Economics and Management.
    7. Guggenberger, Patrik & Kleibergen, Frank & Mavroeidis, Sophocles, 2023. "A test for Kronecker Product Structure covariance matrix," Journal of Econometrics, Elsevier, vol. 233(1), pages 88-112.
    8. Qihui Chen & Nikolai Roussanov & Xiaoliang Wang, 2021. "Semiparametric Conditional Factor Models: Estimation and Inference," Papers 2112.07121, arXiv.org, revised Sep 2023.
    9. Lazar, Emese & Wang, Shixuan & Xue, Xiaohan, 2023. "Loss function-based change point detection in risk measures," European Journal of Operational Research, Elsevier, vol. 310(1), pages 415-431.
    10. Brendan K. Beare & Jackson D. Clarke, 2022. "Modified Wilcoxon-Mann-Whitney tests of stochastic dominance," Papers 2210.08892, arXiv.org.
    11. Zheng Fang & Juwon Seo, 2019. "A Projection Framework for Testing Shape Restrictions That Form Convex Cones," Papers 1910.07689, arXiv.org, revised Sep 2021.
    12. Levon Barseghyan & Francesca Molinari, 2023. "Risk Preference Types, Limited Consideration, and Welfare," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 41(4), pages 1011-1029, October.

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