IDEAS home Printed from https://ideas.repec.org/p/qmw/qmwecw/526.html
   My bibliography  Save this paper

On Testing for Diagonality of Large Dimensional Covariance Matrices

Author

Listed:
  • George Kapetanios

    (Queen Mary, University of London)

Abstract

Datasets in a variety of disciplines require methods where both the sample size and the dataset dimensionality are allowed to be large. This framework is drastically different from the classical asymptotic framework where the number of observations is allowed to be large but the dimensionality of the dataset remains fixed. This paper proposes a new test of diagonality for large dimensional covariance matrices. The test is based on the work of John (1971) and Ledoit and Wolf (2002) among others. The theoretical properties of the test are discussed. A Monte Carlo study of the small sample properties of the test indicate that it behaves well under the null hypothesis and has superior power properties compared to an existing test of diagonality for large datasets.

Suggested Citation

  • George Kapetanios, 2004. "On Testing for Diagonality of Large Dimensional Covariance Matrices," Working Papers 526, Queen Mary University of London, School of Economics and Finance.
    • Handle: RePEc:qmw:qmwecw:526
    as

    Download full text from publisher

    File URL: https://www.qmul.ac.uk/sef/media/econ/research/workingpapers/2004/items/wp526.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Chang, Yoosoon, 2002. "Nonlinear IV unit root tests in panels with cross-sectional dependency," Journal of Econometrics, Elsevier, vol. 110(2), pages 261-292, October.
    2. M. Hashem Pesaran, 2021. "General diagnostic tests for cross-sectional dependence in panels," Empirical Economics, Springer, vol. 60(1), pages 13-50, January.
    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. Badi H. Baltagi & Qu Feng & Chihwa Kao, 2009. "Testing for Sphericity in a Fixed Effects Panel Data Model (Revised July 2009)," Center for Policy Research Working Papers 112, Center for Policy Research, Maxwell School, Syracuse University.
    2. Baltagi, Badi H. & Feng, Qu & Kao, Chihwa, 2012. "A Lagrange Multiplier test for cross-sectional dependence in a fixed effects panel data model," Journal of Econometrics, Elsevier, vol. 170(1), pages 164-177.

    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. Kula Ferit & Aslan Alper, 2010. "Hysteresis vs. Natural Rate of Unemployment: One, the Other, or Both?," South East European Journal of Economics and Business, Sciendo, vol. 5(1), pages 91-94, April.
    2. Tsangyao Chang & Tsung-Pao Wu & Rangan Gupta, 2015. "Are house prices in South Africa really nonstationary? Evidence from SPSM-based panel KSS test with a Fourier function," Applied Economics, Taylor & Francis Journals, vol. 47(1), pages 32-53, January.
    3. Mauro Costantini & Claudio Lupi, 2013. "A Simple Panel-CADF Test for Unit Roots," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 75(2), pages 276-296, April.
    4. Eleftherios Thalassinos & Marta Kadłubek & Le Minh Thong & Tran Van Hiep & Erginbay Ugurlu, 2022. "Managerial Issues Regarding the Role of Natural Gas in the Transition of Energy and the Impact of Natural Gas Consumption on the GDP of Selected Countries," Resources, MDPI, vol. 11(5), pages 1-22, April.
    5. M. Hashem Pesaran, 2007. "A simple panel unit root test in the presence of cross-section dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 265-312.
    6. Nouira, Ridha & Sekkat, Khalid, 2012. "Desperately seeking the positive impact of undervaluation on growth," Journal of Macroeconomics, Elsevier, vol. 34(2), pages 537-552.
    7. Georgios Chortareas & Georgios Magkonis & Demetrios Moschos & Theodore Panagiotidis, 2015. "Financial Development and Economic Activity in Advanced and Developing Open Economies: Evidence from Panel Cointegration," Review of Development Economics, Wiley Blackwell, vol. 19(1), pages 163-177, February.
    8. Patrick PLANE & Ridha NOUIRA & SEKKAT, 2010. "Exchange Rate Undervaluation to Foster Manufactured Exports: A Deliberate Strategy?," Working Papers 201010, CERDI.
    9. Angeliki N. Menegaki, 2019. "The ARDL Method in the Energy-Growth Nexus Field; Best Implementation Strategies," Economies, MDPI, vol. 7(4), pages 1-16, October.
    10. Breitung, Jörg & Pesaran, Mohammad Hashem, 2005. "Unit roots and cointegration in panels," Discussion Paper Series 1: Economic Studies 2005,42, Deutsche Bundesbank.
    11. Shahnazi, Rouhollah & Dehghan Shabani, Zahra, 2021. "The effects of renewable energy, spatial spillover of CO2 emissions and economic freedom on CO2 emissions in the EU," Renewable Energy, Elsevier, vol. 169(C), pages 293-307.
    12. Le, Thai-Ha & Chang, Youngho & Park, Donghyun, 2016. "Trade openness and environmental quality: International evidence," Energy Policy, Elsevier, vol. 92(C), pages 45-55.
    13. Chingnun Lee & Jyh-Lin Wu & Lixiong Yang, 2016. "A Simple Panel Unit-Root Test with Smooth Breaks in the Presence of a Multifactor Error Structure," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 78(3), pages 365-393, June.
    14. Eshagh Mansourkiaee, 2023. "Estimating energy demand elasticities for gas exporting countries: a dynamic panel data approach," SN Business & Economics, Springer, vol. 3(1), pages 1-28, January.
    15. Ehrhart Christophe & Matthieu Llorca, 2017. "Fiscal Sustainability in Central and Latin America Countries: Evidence from a Panel Cointegration Approach," Economics Bulletin, AccessEcon, vol. 37(4), pages 2292-2300.
    16. Muhammad Shahbaz & Aviral Kumar Tiwari & Saleheen Khan, 2016. "Is energy consumption per capita stationary? Evidence from first and second generation panel unit root tests," Economics Bulletin, AccessEcon, vol. 36(3), pages 1656-1669.
    17. Nouira, Ridha & Plane, Patrick & Sekkat, Khalid, 2011. "Exchange rate undervaluation and manufactured exports: A deliberate strategy?," Journal of Comparative Economics, Elsevier, vol. 39(4), pages 584-601.
    18. George Kapetanios, 2004. "On Testing for Diagonality of Large Dimensional Covariance Matrices," Working Papers 526, Queen Mary University of London, School of Economics and Finance.
    19. Pui Sun Tam & University of Macau, 2006. "Breaking trend panel unit root tests," Computing in Economics and Finance 2006 341, Society for Computational Economics.
    20. Christophe Ehrhart & Matthieu Llorca, 2017. "Fiscal sustainability in Central and Latin American countries : evidence from a panel cointegration approach," Post-Print hal-04704604, HAL.

    More about this item

    Keywords

    Panel data; Large sample covariance matrix; Maximum eigenvalue;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

    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:qmw:qmwecw:526. 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: Nicholas Owen (email available below). General contact details of provider: https://edirc.repec.org/data/deqmwuk.html .

    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.