IDEAS home Printed from https://ideas.repec.org/p/crb/wpaper/2017-13.html
   My bibliography  Save this paper

Generalised Wald type Test of nonlinear restrictions

Author

Listed:
  • Zaka Ratsimalahelo

    (Université de Bourgogne Franche-Comté, CRESE)

Abstract

This paper proposes a generalised Wald type tests to test the hypothesis of the nonlinear restrictions. We circumvent the problem of singularity of the co-variance matrix associated with the usual Wald test by proposing a generalised inverse procedure, and an alternative simple procedure which can be approximated by a suitable chi-square distribution. New threshold value is derived to estimate the rank of the covariance matrix .

Suggested Citation

  • Zaka Ratsimalahelo, 2017. "Generalised Wald type Test of nonlinear restrictions," Working Papers 2017-13, CRESE.
    • Handle: RePEc:crb:wpaper:2017-13
    DOI: https://doi.org/10.4236/oalib.1103923
    as

    Download full text from publisher

    File URL: https://crese.univ-fcomte.fr/uploads/wp/WP-2017-13.pdf
    File Function: First version, 2017
    Download Restriction: no
    File URL: https://libkey.io/https://doi.org/10.4236/oalib.1103923?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
    ---><---

    References listed on IDEAS

    as
    1. Gregory, Allan W. & Veall, Michael R., 1986. "Wald tests of common factor restrictions," Economics Letters, Elsevier, vol. 22(2-3), pages 203-208.
    2. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, Decembrie.
    3. Gregory, Allan W & Veall, Michael R, 1985. "Formulating Wald Tests of Nonlinear Restrictions," Econometrica, Econometric Society, vol. 53(6), pages 1465-1468, November.
    Full references (including those not matched with items on IDEAS)

    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. Goh, Kim-Leng & King, Maxwell L., 1996. "Modified Wald tests for non-linear restrictions: A cautionary tale," Economics Letters, Elsevier, vol. 53(2), pages 133-138, November.
    2. Bardsen, Gunnar & Eitrheim, Oyvind & Jansen, Eilev S. & Nymoen, Ragnar, 2005. "The Econometrics of Macroeconomic Modelling," OUP Catalogue, Oxford University Press, number 9780199246502, Decembrie.
    3. Kemp, Gordon C. R., 2001. "Invariance and the Wald test," Journal of Econometrics, Elsevier, vol. 104(2), pages 209-217, September.
    4. Francisco J. Goerlich Gisbert, 1992. "Un test alternativo de la hipótesis de sustitución intertemporal del trabajo," Investigaciones Economicas, Fundación SEPI, vol. 16(2), pages 259-280, May.
    5. Charles G. Renfro, 2009. "The Practice of Econometric Theory," Advanced Studies in Theoretical and Applied Econometrics, Springer, number 978-3-540-75571-5.
    6. King, Maxwell L. & Zhang, Xibin & Akram, Muhammad, 2020. "Hypothesis testing based on a vector of statistics," Journal of Econometrics, Elsevier, vol. 219(2), pages 425-455.
    7. Justin Doran & Bernard Fingleton, 2014. "Economic shocks and growth: Spatio-temporal perspectives on Europe's economies in a time of crisis," Papers in Regional Science, Wiley Blackwell, vol. 93, pages 137-165, November.
    8. Arturas Juodis, 2013. "Cointegration Testing in Panel VAR Models Under Partial Identification and Spatial Dependence," UvA-Econometrics Working Papers 13-08, Universiteit van Amsterdam, Dept. of Econometrics.
    9. Lisbeth Funding la Cour, 1995. "A Component® based Analysis of the danish Long-run Money Demand Relation," Discussion Papers 95-18, University of Copenhagen. Department of Economics.
    10. Levent, Korap, 2007. "Modeling purchasing power parity using co-integration: evidence from Turkey," MPRA Paper 19584, University Library of Munich, Germany.
    11. Alessia Naccarato & Andrea Pierini & Giovanna Ferraro, 2021. "Markowitz portfolio optimization through pairs trading cointegrated strategy in long-term investment," Annals of Operations Research, Springer, vol. 299(1), pages 81-99, April.
    12. Darrian Collins & Clem Tisdell, 2004. "Outbound Business Travel Depends on Business Returns: Australian Evidence," Australian Economic Papers, Wiley Blackwell, vol. 43(2), pages 192-207, June.
    13. Christian Schoder, 2012. "Effective demand, exogenous normal utilization and endogenous capacity in the long run. Evidence from a CVAR analysis for the US," IMK Working Paper 103-2012, IMK at the Hans Boeckler Foundation, Macroeconomic Policy Institute.
    14. Muhammad Shahbaz & Vassilios G. Papavassiliou & Amine Lahiani & David Roubaud, 2023. "Are we moving towards decarbonisation of the global economy? Lessons from the distant past to the present," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 28(3), pages 2620-2634, July.
    15. Karaman Örsal, Deniz Dilan & Droge, Bernd, 2014. "Panel cointegration testing in the presence of a time trend," Computational Statistics & Data Analysis, Elsevier, vol. 76(C), pages 377-390.
    16. Jakšić Saša, 2022. "Modelling Determinants of Inflation in CESEE Countries: Global Vector Autoregressive Approach," Review of Economic Perspectives, Sciendo, vol. 22(2), pages 137-169, June.
    17. Hwang, Yujung & Nguyen, Toan, 2025. "Is sex ratio a valid distribution factor in a collective model?," Labour Economics, Elsevier, vol. 92(C).
    18. António Duarte, 2009. "The Portuguese Disinflation Process: Analysis of Some Costs and Benefits," Transition Studies Review, Springer;Central Eastern European University Network (CEEUN), vol. 16(1), pages 157-173, May.
    19. Njangang Henri & Nembot Ndeffo Luc & Nawo Larissa, 2019. "The Long‐run and Short‐run Effects of Foreign Direct Investment on Financial Development in African Countries," African Development Review, African Development Bank, vol. 31(2), pages 216-229, June.
    20. Lego, Brian & Gebremedhin, Tesfa & Cushing, Brian, 2000. "A Multi-Sector Export Base Model of Long-Run Regional Employment Growth," Agricultural and Resource Economics Review, Cambridge University Press, vol. 29(2), pages 192-197, October.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:crb:wpaper:2017-13. 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: Laurent Kondratuk (email available below). General contact details of provider: https://edirc.repec.org/data/crufcfr.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.