R-estimation for ARMA models
AbstractThis paper is devoted to the R-estimation problem for the parameter of a stationary ARMA model. The asymptotic uniform linearity of a suitable vector of rank statistics leads to the asymptotic normality of √n-consistent R-estimates resulting from the minimization of the norm of this vector. By using a discretized √n-consistent preliminary estimate, we construct a new class of one-step R-estimators. We compute the asymptotic relative efficiency of the proposed estimators with respect to the LS estimator. Efficiency properties are investigated via a Monte-Carlo study in the particular case of an AR(1) model.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 21167.
Date of creation: 2001
Date of revision:
R-estimation; ARMA models; local asymptotic normality; asymptotic linearity;
Find related papers by JEL classification:
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
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- Hallin, M. & Puri, M. L., 1994.
"Aligned Rank Tests for Linear Models with Autocorrelated Error Terms,"
Journal of Multivariate Analysis,
Elsevier, vol. 50(2), pages 175-237, August.
- Hallin, M. & Puri, L.M., 1992. "Aligned Rank tests for Linear Models with Autocorrelated Error Terms," Papers 9202, Universite Libre de Bruxelles - C.E.M.E..
- Marc Hallin & Jean-François Ingenbleek & Madan L. Puri, 1984.
"Linear serial rank tests for randomness against ARMA alternatives,"
ULB Institutional Repository
2013/2167, ULB -- Universite Libre de Bruxelles.
- Marc Hallin & Jean-François Ingenbleek & Madan L. Puri, 1985. "Linear serial rank tests for randomness against ARMA alternatives," ULB Institutional Repository 2013/2003, ULB -- Universite Libre de Bruxelles.
- Marc Hallin, 1994. "On the Pitman nonadmissibility of correlogram-based time series methods," ULB Institutional Repository 2013/2049, ULB -- Universite Libre de Bruxelles.
- Hallin, Marc & Swan, Yvik & Verdebout, Thomas & Veredas, David, 2013. "One-step R-estimation in linear models with stable errors," Journal of Econometrics, Elsevier, vol. 172(2), pages 195-204.
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