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A Nonparametric Test for Assessing Spectral Peaks

Tucker S. McElroy and Scott Holan

KEY WORDS: seasonal adjustment, spectral density, nonparametric kernel methods


Peaks in the spectrum of a stationary process are indicative of the presence of a periodic phenomenon, such as a seasonal effect or business cycle. This work proposes to measure and test for the presence of such spectral peaks via assessing their aggregate acceleration and velocity. Our method is developed nonparametrically, and thus may be useful in a preliminary analysis of a series. The technique is also useful for detecting the presence of residual seasonality in seasonally adjusted data. The diagnostic is investigated through simulation and two data examples.


Source: U.S. Census Bureau, Statistical Research Division

Created: December 20, 2005
Last revised: December 20, 2005

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Source: U.S. Census Bureau | Statistical Research Division | (301) 763-3215 (or |   Last Revised: October 08, 2010