The Band Pass Filter*
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- 1 May 2003
- journal article
- Published by Wiley in International Economic Review
- Vol. 44 (2) , 435-465
- https://doi.org/10.1111/1468-2354.t01-1-00076
Abstract
We develop optimal finite‐sample approximations for the band pass filter. These approximations include one‐sided filters that can be used in real time. Optimal approximations depend upon the details of the time series representation that generates the data. Fortunately, for U.S. macroeconomic data, getting the details exactly right is not crucial. A simple approach, based on the generally false assumption that the data are generated by a random walk, is nearly optimal. We use the tools discussed here to document a new fact: There has been a significant shift in the money–inflation relationship before and after 1960.Keywords
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This publication has 19 references indexed in Scilit:
- The Unreliability of Output-Gap Estimates in Real TimeThe Review of Economics and Statistics, 2002
- On Adjusting the Hodrick-Prescott Filter for the Frequency of ObservationsThe Review of Economics and Statistics, 2002
- Measuring Business Cycles: Approximate Band-Pass Filters for Economic Time SeriesThe Review of Economics and Statistics, 1999
- Postwar U.S. Business Cycles: An Empirical InvestigationJournal of Money, Credit and Banking, 1997
- Small-Sample Properties of GMM for Business-Cycle AnalysisJournal of Business & Economic Statistics, 1996
- Output Gaps. Some evidence from the UK, France and GermanyNational Institute Economic Review, 1995
- The post-war U.S. phillips curve: a revisionist econometric historyCarnegie-Rochester Conference Series on Public Policy, 1994
- Low frequency filtering and real business cyclesJournal of Economic Dynamics and Control, 1993
- The Role of Approximate Prior Restrictions in Distributed Lag EstimationJournal of the American Statistical Association, 1972
- The Role of Approximate Prior Restrictions in Distributed Lag EstimationJournal of the American Statistical Association, 1972