Transfer Function Models with Time-Varying Coefficients

We consider a transfer function model with time-varying coefficients. We propose an estimation procedure, based on the least squares method and wavelet expansions of the time-varying coefficients. We discuss some statistical properties of the estimators and assess the validity of the methodology thr...

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Main Authors: Maria Sílvia de A. Moura, Pedro A. Morettin, Clélia M. C. Toloi, Chang Chiann
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2012/451076
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author Maria Sílvia de A. Moura
Pedro A. Morettin
Clélia M. C. Toloi
Chang Chiann
author_facet Maria Sílvia de A. Moura
Pedro A. Morettin
Clélia M. C. Toloi
Chang Chiann
author_sort Maria Sílvia de A. Moura
collection DOAJ
description We consider a transfer function model with time-varying coefficients. We propose an estimation procedure, based on the least squares method and wavelet expansions of the time-varying coefficients. We discuss some statistical properties of the estimators and assess the validity of the methodology through a simulation study. We also present an application of the proposed procedure to a real pair of series.
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institution Kabale University
issn 1687-952X
1687-9538
language English
publishDate 2012-01-01
publisher Wiley
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series Journal of Probability and Statistics
spelling doaj-art-054557ac1b554f24b847eb593d09e8ad2025-02-03T01:29:16ZengWileyJournal of Probability and Statistics1687-952X1687-95382012-01-01201210.1155/2012/451076451076Transfer Function Models with Time-Varying CoefficientsMaria Sílvia de A. Moura0Pedro A. Morettin1Clélia M. C. Toloi2Chang Chiann3Department of Statistics, Federal University of São Carlos, 13565-905 São Carlos, SP, BrazilDepartment of Statistics, University of São Paulo, 05508-090 São Paulo, SP, BrazilDepartment of Statistics, University of São Paulo, 05508-090 São Paulo, SP, BrazilDepartment of Statistics, University of São Paulo, 05508-090 São Paulo, SP, BrazilWe consider a transfer function model with time-varying coefficients. We propose an estimation procedure, based on the least squares method and wavelet expansions of the time-varying coefficients. We discuss some statistical properties of the estimators and assess the validity of the methodology through a simulation study. We also present an application of the proposed procedure to a real pair of series.http://dx.doi.org/10.1155/2012/451076
spellingShingle Maria Sílvia de A. Moura
Pedro A. Morettin
Clélia M. C. Toloi
Chang Chiann
Transfer Function Models with Time-Varying Coefficients
Journal of Probability and Statistics
title Transfer Function Models with Time-Varying Coefficients
title_full Transfer Function Models with Time-Varying Coefficients
title_fullStr Transfer Function Models with Time-Varying Coefficients
title_full_unstemmed Transfer Function Models with Time-Varying Coefficients
title_short Transfer Function Models with Time-Varying Coefficients
title_sort transfer function models with time varying coefficients
url http://dx.doi.org/10.1155/2012/451076
work_keys_str_mv AT mariasilviadeamoura transferfunctionmodelswithtimevaryingcoefficients
AT pedroamorettin transferfunctionmodelswithtimevaryingcoefficients
AT cleliamctoloi transferfunctionmodelswithtimevaryingcoefficients
AT changchiann transferfunctionmodelswithtimevaryingcoefficients