IDEAS home Printed from https://ideas.repec.org/p/hal/journl/halshs-00879792.html

Finite-sample exact tests for linear regressions with bounded dependent variables

Author

Listed:
  • Olivier Gossner

    (PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, LSE - London School of Economics and Political Science)

  • Karl H. Schlag

    (Universität Wien = University of Vienna)

Abstract

We introduce tests for finite-sample linear regressions with heteroskedastic errors. The tests are exact, i.e., they have guaranteed type I error probabilities when bounds are known on the range of the dependent variable, without any assumptions about the noise structure. We provide upper bounds on probability of type II errors, and apply the tests to empirical data.

Suggested Citation

  • Olivier Gossner & Karl H. Schlag, 2013. "Finite-sample exact tests for linear regressions with bounded dependent variables," Post-Print halshs-00879792, HAL.
    • Handle: RePEc:hal:journl:halshs-00879792
    DOI: 10.1016/j.jeconom.2013.06.003
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    Other versions of this item:

    Citations

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


    Cited by:

    1. Frédéric Jouneau-Sion & Olivier Torrès, 2014. "In Fisher’s net : exact F-tests in semi-parametric models with exchangeable errors," Working Papers 1422, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    2. Frédéric Jouneau-Sion & Olivier Torrès, 2014. "In Fisher's net : exact F-tests in semi-parametric models with exchangeable errors," Working Papers halshs-01062623, HAL.
    3. Ulrich K. Müller, 2020. "A More Robust t-Test," Working Papers 2020-32, Princeton University. Economics Department..
    4. Alexis Derumigny & Lucas Girard & Yannick Guyonvarch, 2025. "Can we have it all? Non-asymptotically valid and asymptotically exact confidence intervals for expectations and linear regressions," Papers 2507.16776, arXiv.org, revised Jul 2025.
    5. Ulrich K. Mueller, 2020. "A More Robust t-Test," Papers 2007.07065, arXiv.org.

    More about this item

    Keywords

    ;
    ;
    ;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General

    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:hal:journl:halshs-00879792. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.