IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v194y2023ics0167715222002723.html

On the asymptotic null distribution of the symmetrized Chatterjee’s correlation coefficient

Author

Listed:
  • Zhang, Qingyang

Abstract

Chatterjee (2021) introduced an asymmetric correlation measure that has attracted much attention over the past year. In this paper, we derive the asymptotic distribution of the symmetric version of Chatterjee’s correlation, and suggest a finite sample test for independence.

Suggested Citation

  • Zhang, Qingyang, 2023. "On the asymptotic null distribution of the symmetrized Chatterjee’s correlation coefficient," Statistics & Probability Letters, Elsevier, vol. 194(C).
    • Handle: RePEc:eee:stapro:v:194:y:2023:i:c:s0167715222002723
    DOI: 10.1016/j.spl.2022.109759
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715222002723
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spl.2022.109759?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Niklas Pfister & Peter Bühlmann & Bernhard Schölkopf & Jonas Peters, 2018. "Kernel‐based tests for joint independence," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 80(1), pages 5-31, January.
    2. H Shi & M Drton & F Han, 2022. "On the power of Chatterjee’s rank correlation [Adaptive test of independence based on HSIC measures]," Biometrika, Biometrika Trust, vol. 109(2), pages 317-333.
    3. Holger Dette & Karl F. Siburg & Pavel A. Stoimenov, 2013. "A Copula-Based Non-parametric Measure of Regression Dependence," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 40(1), pages 21-41, March.
    4. Sourav Chatterjee, 2021. "A New Coefficient of Correlation," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 116(536), pages 2009-2022, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Feng, Junlong & Lee, Sokbae, 2025. "Individual welfare analysis: Random quasilinear utility, independence, and confidence bounds," Journal of Econometrics, Elsevier, vol. 247(C).
    2. Silbernagel, Angelika & Weiß, Christian H. & Schnurr, Alexander, 2025. "Non-parametric tests for cross-dependence based on multivariate extensions of ordinal patterns," Computational Statistics & Data Analysis, Elsevier, vol. 210(C).
    3. Mauricio Olivares & Tomasz Olma & Daniel Wilhelm, 2025. "A Powerful Bootstrap Test of Independence in High Dimensions," Papers 2503.21715, arXiv.org, revised Feb 2026.
    4. Qingyang Zhang, 2024. "Asymptotic expected sensitivity function and its applications to measures of monotone association," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 76(5), pages 877-896, October.
    5. Zhexiao Lin & Fang Han, 2023. "On the failure of the bootstrap for Chatterjee's rank correlation," Papers 2303.14088, arXiv.org, revised Apr 2023.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mona Azadkia & Leihao Chen & Fang Han, 2025. "Bias correction for Chatterjee's graph-based correlation coefficient," Papers 2508.09040, arXiv.org, revised Jan 2026.
    2. Zhexiao Lin & Fang Han, 2023. "On the failure of the bootstrap for Chatterjee's rank correlation," Papers 2303.14088, arXiv.org, revised Apr 2023.
    3. Wang, Li & Zhou, Hongyi & Ma, Weidong & Yang, Ying, 2025. "A conditional distribution function-based measure for independence and K-sample tests in multivariate data," Journal of Multivariate Analysis, Elsevier, vol. 205(C).
    4. Shih, Jia-Han & Chen, Yi-Hau, 2026. "Measuring multivariate regression association via spatial sign," Computational Statistics & Data Analysis, Elsevier, vol. 215(C).
    5. Feng, Junlong & Lee, Sokbae, 2025. "Individual welfare analysis: Random quasilinear utility, independence, and confidence bounds," Journal of Econometrics, Elsevier, vol. 247(C).
    6. Fang Han, 2024. "An Introduction to Permutation Processes (version 0.5)," Papers 2407.09664, arXiv.org.
    7. Wang, Ya & Fang, Linjiajie & Jing, Bingyi, 2024. "Adapted Chatterjee correlation coefficient," Statistics & Probability Letters, Elsevier, vol. 215(C).
    8. Liqi Xia & Ruiyuan Cao & Jiang Du & Jun Dai, 2025. "Consistent complete independence test in high dimensions based on Chatterjee correlation coefficient," Statistical Papers, Springer, vol. 66(1), pages 1-32, January.
    9. H Shi & M Drton & F Han, 2022. "On the power of Chatterjee’s rank correlation [Adaptive test of independence based on HSIC measures]," Biometrika, Biometrika Trust, vol. 109(2), pages 317-333.
    10. Qingyang Zhang, 2024. "Asymptotic expected sensitivity function and its applications to measures of monotone association," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 76(5), pages 877-896, October.
    11. Guillaume Marrelec & Alain Giron, 2024. "Inferring the finest pattern of mutual independence from data," Statistical Papers, Springer, vol. 65(3), pages 1677-1702, May.
    12. Saminger-Platz Susanne & Kolesárová Anna & Šeliga Adam & Mesiar Radko & Klement Erich Peter, 2024. "On comprehensive families of copulas involving the three basic copulas and transformations thereof," Dependence Modeling, De Gruyter, vol. 12(1), pages 1-36.
    13. Borgonovo, Emanuele & Plischke, Elmar & Rabitti, Giovanni, 2024. "The many Shapley values for explainable artificial intelligence: A sensitivity analysis perspective," European Journal of Operational Research, Elsevier, vol. 318(3), pages 911-926.
    14. Ben Jabeur, Sami & Boubaker, Sabri & Carmona, Pedro & Stef, Nicolae, 2025. "How do environmental concerns and global economic conditions affect energy prices?," Energy Policy, Elsevier, vol. 204(C).
    15. Junker, Robert R. & Griessenberger, Florian & Trutschnig, Wolfgang, 2021. "Estimating scale-invariant directed dependence of bivariate distributions," Computational Statistics & Data Analysis, Elsevier, vol. 153(C).
    16. Chuliang Song & Benno I Simmons & Marie-Josée Fortin & Andrew Gonzalez, 2022. "Generalism drives abundance: A computational causal discovery approach," PLOS Computational Biology, Public Library of Science, vol. 18(9), pages 1-16, September.
    17. Yihui He & Fang Han, 2023. "On propensity score matching with a diverging number of matches," Papers 2310.14142, arXiv.org, revised Nov 2023.
    18. Zhang, Qingyang, 2019. "Independence test for large sparse contingency tables based on distance correlation," Statistics & Probability Letters, Elsevier, vol. 148(C), pages 17-22.
    19. Shih, Jia-Han & Emura, Takeshi, 2021. "On the copula correlation ratio and its generalization," Journal of Multivariate Analysis, Elsevier, vol. 182(C).
    20. Azadkia, Mona & Chatterjee, Sourav, 2021. "A simple measure of conditional dependence," LSE Research Online Documents on Economics 125584, London School of Economics and Political Science, LSE Library.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:194:y:2023:i:c:s0167715222002723. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.