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Tests sur le noyau, l'image et le rang de la matrice des coefficients d'un modéle linéaire multivarié

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  • Christian Gouriéroux
  • Alain Monfort
  • Eric Renault

Abstract

In this paper we are interested in inference problems on the matrix of coefficients in a multivariate linear model; in particular we consider tests on the kernel, the range and the rank of this matrix. Various test procedures are explicited and compared: (pseudo) likelihood ratio, Wald (or generalized Wald), score. Each test procedure is put in a canonical analysis framework.

Suggested Citation

  • Christian Gouriéroux & Alain Monfort & Eric Renault, 1993. "Tests sur le noyau, l'image et le rang de la matrice des coefficients d'un modéle linéaire multivarié," Annals of Economics and Statistics, GENES, issue 32, pages 81-111.
    • Handle: RePEc:adr:anecst:y:1993:i:32:p:81-111
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    Cited by:

    1. Beine, Michel & Hecq, Alain, 1998. "Codependence and Convergence in the EC Economies," Journal of Policy Modeling, Elsevier, vol. 20(4), pages 403-426, August.
    2. Beaulieu, Marie-Claude & Dufour, Jean-Marie & Khalaf, Lynda, 2009. "Finite sample multivariate tests of asset pricing models with coskewness," Computational Statistics & Data Analysis, Elsevier, vol. 53(6), pages 2008-2021, April.
    3. Dufour, Jean-Marie & Khalaf, Lynda, 2002. "Simulation based finite and large sample tests in multivariate regressions," Journal of Econometrics, Elsevier, vol. 111(2), pages 303-322, December.
    4. Zaka Ratsimalahelo, 2003. "Strongly Consistent Determination of the Rank of Matrix," EERI Research Paper Series EERI_RP_2003_04, Economics and Econometrics Research Institute (EERI), Brussels.

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