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Asymptotic behavior of M-estimators in AR(p) models under nonstandard conditions

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  • Marc Hallin
  • Faouzi El Bantli

Abstract

The authors derive the limiting distribution of M-estimators in AR(p) models under nonstandard conditions, allowing for discontinuities in score and density functions. Unlike usual regularity assumptions, these conditions are satisfied in the context of L1-estimation and autoregression quantiles. The asymptotic distributions of the resulting estimators, however, are not generally Gaussian. Moreover, their bootstrap approximations are consistent along very specific sequences of bootstrap sample sizes only.

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  • Marc Hallin & Faouzi El Bantli, 2001. "Asymptotic behavior of M-estimators in AR(p) models under nonstandard conditions," ULB Institutional Repository 2013/2105, ULB -- Universite Libre de Bruxelles.
  • Handle: RePEc:ulb:ulbeco:2013/2105 Note: FLWIN
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    1. Brenda Gannon & Robert Plasman & Francois Rycx & Ilan Tojerow, 2007. "Inter-Industry Wage Differentials and the Gender Wage Gap: Evidence from European Countries," The Economic and Social Review, Economic and Social Studies, vol. 38(1), pages 135-155.
    2. Danièle Meulders & Robert Plasman & François Rycx, 2002. "Gender wage gaps: a European perspective," Brussels Economic Review, ULB -- Universite Libre de Bruxelles, vol. 45(2), pages 3-10.
    3. Benoît Mahy & Robert Plasman & François Rycx, 2006. "Gender pay differentials: cross-national evidence from micro-data," ULB Institutional Repository 2013/7836, ULB -- Universite Libre de Bruxelles.
    4. Ilan Tojerow & François Rycx, 2004. "Rent-sharing and the gender wage gap in Belgium," ULB Institutional Repository 2013/245700, ULB -- Universite Libre de Bruxelles.
    5. Francine D. Blau & Lawrence M. Kahn, 2000. "Gender Differences in Pay," Journal of Economic Perspectives, American Economic Association, vol. 14(4), pages 75-99, Fall.
    6. Plasman, Robert & Sissoko, Salimata, 2004. "Comparing Apples with Oranges: Revisiting the Gender Wage Gap in an International Perspective," IZA Discussion Papers 1449, Institute for the Study of Labor (IZA).
    7. Ilan Tojerow & François Rycx, 2002. "Inter-industry wage differentials and the gender wage gap in Belgium," Brussels Economic Review, ULB -- Universite Libre de Bruxelles, vol. 45(2), pages 119-141.
    8. Blau, Francine D & Kahn, Lawrence M, 1992. "The Gender Earnings Gap: Learning from International Comparisons," American Economic Review, American Economic Association, vol. 82(2), pages 533-538, May.
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    10. Blau, Francine D & Kahn, Lawrence M, 1996. "International Differences in Male Wage Inequality: Institutions versus Market Forces," Journal of Political Economy, University of Chicago Press, vol. 104(4), pages 791-836, August.
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    Cited by:

    1. Duchesne, Pierre, 2004. "On robust testing for conditional heteroscedasticity in time series models," Computational Statistics & Data Analysis, Elsevier, vol. 46(2), pages 227-256, June.

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