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Semiparametric efficiency bounds in dynamic non-linear systems under elliptical symmetry

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  • Bryan W. Brown
  • Douglas J. Hodgson

Abstract

We analyze semiparametric efficient estimation of non-linear simultaneous equation models in a time series context and derive a semiparametric efficiency bound for estimation of the parameters when the errors are i.i.d. from an unknown elliptically symmetric density. We derive the bound in the case of errors that are elliptically symmetric conditional on predetermined variables. Copyright Royal Economic Society 2007

Suggested Citation

  • Bryan W. Brown & Douglas J. Hodgson, 2007. "Semiparametric efficiency bounds in dynamic non-linear systems under elliptical symmetry," Econometrics Journal, Royal Economic Society, vol. 10(1), pages 35-48, March.
    • Handle: RePEc:ect:emjrnl:v:10:y:2007:i:1:p:35-48
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    Cited by:

    1. Joseph Ngatchou-Wandji & Michel Harel, 2013. "A Cramér-von Mises test for symmetry of the error distribution in asymptotically stationary stochastic models," Statistical Inference for Stochastic Processes, Springer, vol. 16(3), pages 207-236, October.
    2. Hodgson, Douglas J & Vorkink, Keith P, 2003. "Efficient Estimation of Conditional Asset-Pricing Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(2), pages 269-283, April.
    3. Douglas James Hodgson, 2009. "A Test for the Presence of Central Bank Intervention in the Foreign Exchange Market With an Application to the Bank of Canada," CIRANO Working Papers 2009s-14, CIRANO.
    4. Alexeev, Vitali & Maynard, Alex, 2012. "Localized level crossing random walk test robust to the presence of structural breaks," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3322-3344.
    5. Bryan W. Brown; Douglas J. Hodgson, 2004. "Models of foreign exchange intervention: Estimation and testing," Econometric Society 2004 Australasian Meetings 96, Econometric Society.
    6. Jeon, Byung M. & Brown, Bryan, 2001. "Efficient Semiparametric Estimation of Expectations in Dynamic Nonlinear Systems," Working Papers 2001-09, Rice University, Department of Economics.

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