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来源类型Working Paper
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DOI10.3386/w7257
来源IDWorking Paper 7257
The Band Pass Filter
Lawrence J. Christiano; Terry J. Fitzgerald
发表日期1999-07-01
出版年1999
语种英语
摘要The `ideal' band pass filter can be used to isolate the component of a time series that lies within a particular band of frequencies. However, applying this filter requires a dataset of infinite length. In practice, some sort of approximation is needed. Using projections, we derive approximations that are optimal when the time series representations underlying the raw data have a unit root, or are stationary about a trend. We identify one approximation which, though it is only optimal for one particular time series representation, nevertheless works well for standard macroeconomic time series. To illustrate the use of this approximation, we use it to characterize the change in the nature of the Phillips curve and the money-inflation relation before and after the 1960s. We find that there is surprisingly little change in the Phillips curve and substantial change in money growth-inflation relation.
主题Macroeconomics ; Business Cycles ; Econometrics ; Estimation Methods
URLhttps://www.nber.org/papers/w7257
来源智库National Bureau of Economic Research (United States)
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资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/564789
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Lawrence J. Christiano,Terry J. Fitzgerald. The Band Pass Filter. 1999.
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