Estimation of Time Series Models via Robust Wavelet Variance

A robust approach to the estimation of time series models is proposed. Taking from a new estimation method called the Generalized Method of Wavelet Moments (GMWM) which is an indirect method based on the Wavelet Variance (WV), we replace the classical estimator of the WV with a recently proposed ro...

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Main Authors: Stephane Guerrier, Roberto Molinari, Maria-Pia Victoria-Feser
Format: Article
Language:English
Published: Austrian Statistical Society 2014-06-01
Series:Austrian Journal of Statistics
Online Access:http://www.ajs.or.at/index.php/ajs/article/view/45
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spelling doaj-8ee34c6ff3424e258ade4a4702eacff02021-04-22T12:35:11ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2014-06-0143410.17713/ajs.v43i4.4522Estimation of Time Series Models via Robust Wavelet VarianceStephane Guerrier0Roberto Molinari1Maria-Pia Victoria-Feser2University of California, Santa BarbaraUniversite de GeneveUniversite de Geneve A robust approach to the estimation of time series models is proposed. Taking from a new estimation method called the Generalized Method of Wavelet Moments (GMWM) which is an indirect method based on the Wavelet Variance (WV), we replace the classical estimator of the WV with a recently proposed robust M-estimator to obtain a robust version of the GMWM. The simulation results show that the proposed approach can be considered as a valid robust approach to the estimation of time series and state-space models. http://www.ajs.or.at/index.php/ajs/article/view/45
collection DOAJ
language English
format Article
sources DOAJ
author Stephane Guerrier
Roberto Molinari
Maria-Pia Victoria-Feser
spellingShingle Stephane Guerrier
Roberto Molinari
Maria-Pia Victoria-Feser
Estimation of Time Series Models via Robust Wavelet Variance
Austrian Journal of Statistics
author_facet Stephane Guerrier
Roberto Molinari
Maria-Pia Victoria-Feser
author_sort Stephane Guerrier
title Estimation of Time Series Models via Robust Wavelet Variance
title_short Estimation of Time Series Models via Robust Wavelet Variance
title_full Estimation of Time Series Models via Robust Wavelet Variance
title_fullStr Estimation of Time Series Models via Robust Wavelet Variance
title_full_unstemmed Estimation of Time Series Models via Robust Wavelet Variance
title_sort estimation of time series models via robust wavelet variance
publisher Austrian Statistical Society
series Austrian Journal of Statistics
issn 1026-597X
publishDate 2014-06-01
description A robust approach to the estimation of time series models is proposed. Taking from a new estimation method called the Generalized Method of Wavelet Moments (GMWM) which is an indirect method based on the Wavelet Variance (WV), we replace the classical estimator of the WV with a recently proposed robust M-estimator to obtain a robust version of the GMWM. The simulation results show that the proposed approach can be considered as a valid robust approach to the estimation of time series and state-space models.
url http://www.ajs.or.at/index.php/ajs/article/view/45
work_keys_str_mv AT stephaneguerrier estimationoftimeseriesmodelsviarobustwaveletvariance
AT robertomolinari estimationoftimeseriesmodelsviarobustwaveletvariance
AT mariapiavictoriafeser estimationoftimeseriesmodelsviarobustwaveletvariance
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