Econometrica

Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: Sep, 2008, Volume 76, Issue 5

Testing Models of Low‐Frequency Variability

https://doi.org/10.3982/ECTA6814
p. 979-1016

Ulrich K. Müller, Mark W. Watson

We develop a framework to assess how successfully standard time series models explain low‐frequency variability of a data series. The low‐frequency information is extracted by computing a finite number of weighted averages of the original data, where the weights are low‐frequency trigonometric series. The properties of these weighted averages are then compared to the asymptotic implications of a number of common time series models. We apply the framework to twenty U.S. macroeconomic and financial time series using frequencies lower than the business cycle.


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Supplemental Material

Supplement to "Testing Models of Low-Frequency Variability"

This zip file contains a replication file that contains data and programs.

Supplement to "Testing Models of Low-Frequency Variability"

This zip file contains a replication file that contains data and programs.