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Rank‐based estimation for autoregressive moving average time series models

Beth Andrews

Journal of Time Series Analysis, 2008, vol. 29, issue 1, 51-73

Abstract: Abstract. We establish asymptotic normality and consistency for rank‐based estimators of autoregressive‐moving average model parameters. The estimators are obtained by minimizing a rank‐based residual dispersion function similar to the one given by L.A. Jaeckel [Ann. Math. Stat. Vol. 43 (1972) 1449–1458]. These estimators can have the same asymptotic efficiency as maximum likelihood estimators and are robust. The quality of the asymptotic approximations for finite samples is studied via simulation.

Date: 2008
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Citations: View citations in EconPapers (5)

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https://doi.org/10.1111/j.1467-9892.2007.00545.x

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