Journal Article

Statistical tests for changes in the amplitude, frequency or phase of a sinusoidal variation

Chris Koen

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 392, issue 1, pages 190-204
Published in print January 2009 | ISSN: 0035-8711
Published online December 2008 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2008.14017.x
Statistical tests for changes in the amplitude, frequency or phase of a sinusoidal variation

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The problem considered is that of testing for small changes over time in the properties of a sinusoidal signal contaminated by noise. Two test statistics are proposed. The first is a frequency domain statistic based on the spectrum of the data, while the second is a time domain statistic due to Nyblom. Power studies are used to show that the Nyblom statistic is generally the better. The form of the Nyblom statistic appropriate for phase-change tests also performs well in testing for frequency changes.

Keywords: methods: statistical; stars: oscillations

Journal Article.  5974 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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