Simultaneous inference for time-varying models

A general class of non-stationary time series is considered in this paper. We estimate the time-varying coefficients by using local linear M-estimation. For these estimators, weak Bahadur representations are obtained and are used to construct simultaneous confidence bands. For practical implementati...

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Bibliographic Details
Main Authors: Karmakar, Sayar (Author) , Richter, Stefan (Author) , Wu, Wei Biao (Author)
Format: Article (Journal)
Language:English
Published: 22 February 2022
In: Journal of econometrics
Year: 2022, Volume: 227, Issue: 2, Pages: 408-428
DOI:10.1016/j.jeconom.2021.03.002
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.jeconom.2021.03.002
Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0304407621000725
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Author Notes:Sayar Karmakar, Stefan Richter, Wei Biao Wu
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Summary:A general class of non-stationary time series is considered in this paper. We estimate the time-varying coefficients by using local linear M-estimation. For these estimators, weak Bahadur representations are obtained and are used to construct simultaneous confidence bands. For practical implementation, we propose a bootstrap based method to circumvent the slow logarithmic convergence of the theoretical simultaneous bands. Our results substantially generalize and unify the treatments for several time-varying regression and auto-regression models. The performance for tvARCH and tvGARCH models is studied in simulations and a few real-life applications of our study are presented through the analysis of some popular financial datasets.
Item Description:Gesehen am 15.07.2022
Physical Description:Online Resource
DOI:10.1016/j.jeconom.2021.03.002