Signal extraction revision variances as a goodness-of-fit measure

McElroy, Tucker; Wildi, Marc

doi:10.21256/zhaw-4927

Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-4927

Publication type:	Article in scientific journal
Type of review:	Peer review (publication)
Title:	Signal extraction revision variances as a goodness-of-fit measure
Authors:	McElroy, Tucker Wildi, Marc
DOI:	10.21256/zhaw-4927 10.2202/1941-1928.1012
Published in:	Journal of Time Series Econometrics
Volume(Issue):	2
Issue:	1
Issue Date:	2010
Publisher / Ed. Institution:	De Gruyter
ISSN:	2194-6507 1941-1928
Language:	English
Subjects:	Real-time filtering; Signal extraction; Model-diagnostics; Nonstationary time series; Seasonality
Subject (DDC):	003: Systems 510: Mathematics
Abstract:	Typically, model misspecification is addressed by statistics relying on model-residuals, i.e., on one-step ahead forecasting errors. In practice, however, users are often also interested in problems involving multi-step ahead forecasting performances, which are not explicitly addressed by traditional diagnostics. In this article, we consider the topic of misspecification from the perspective of signal extraction. More precisely, we emphasize the connection between models and real-time (concurrent) filter performances by analyzing revision errors instead of one-step ahead forecasting errors. In applications, real-time filters are important for computing trends, for performing seasonal adjustment or for inferring turning-points towards the current boundary of time series. Since revision errors of real-time filters generally rely on particular linear combinations of one- and multi-step ahead forecasts, we here address a generalization of traditional diagnostics. Formally, a hypothesis testing paradigm for the empirical revision measure is developed through theoretical calculations of the asymptotic distribution under the null hypothesis, and the method is assessed through real data studies as well as simulations. In particular, we analyze the effect of model misspecification with respect to unit roots, which are likely to determine multi-step ahead forecasting performances. We also show that this framework can be extended to general forecasting problems by defining suitable artificial signals.
Further description:	erworben im Rahmen der Schweizer Nationallizenzen (www.nationallizenzen.ch)
URI:	https://digitalcollection.zhaw.ch/handle/11475/13642
Fulltext version:	Published version
License (according to publishing contract):	Licence according to publishing contract
Departement:	School of Engineering
Organisational Unit:	Institute of Data Analysis and Process Design (IDP)
Appears in collections:	Publikationen School of Engineering

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McElroy, T., & Wildi, M. (2010). Signal extraction revision variances as a goodness-of-fit measure. Journal of Time Series Econometrics, 2(1). https://doi.org/10.21256/zhaw-4927

McElroy, T. and Wildi, M. (2010) ‘Signal extraction revision variances as a goodness-of-fit measure’, Journal of Time Series Econometrics, 2(1). Available at: https://doi.org/10.21256/zhaw-4927.

T. McElroy and M. Wildi, “Signal extraction revision variances as a goodness-of-fit measure,” Journal of Time Series Econometrics, vol. 2, no. 1, 2010, doi: 10.21256/zhaw-4927.

MCELROY, Tucker und Marc WILDI, 2010. Signal extraction revision variances as a goodness-of-fit measure. Journal of Time Series Econometrics. 2010. Bd. 2, Nr. 1. DOI 10.21256/zhaw-4927

McElroy, Tucker, and Marc Wildi. 2010. “Signal Extraction Revision Variances as a Goodness-of-Fit Measure.” Journal of Time Series Econometrics 2 (1). https://doi.org/10.21256/zhaw-4927.

McElroy, Tucker, and Marc Wildi. “Signal Extraction Revision Variances as a Goodness-of-Fit Measure.” Journal of Time Series Econometrics, vol. 2, no. 1, 2010, https://doi.org/10.21256/zhaw-4927.