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  Coefficients of variation for detecting solar-like oscillations

Bell, K. J., Hekker, S., & Kuszlewicz, J. (2019). Coefficients of variation for detecting solar-like oscillations. Monthly Notices of the Royal Astronomical Society, 482(1), 616-625. doi:10.1093/mnras/sty2731.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-7501-8 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-D5AB-C
Genre: Journal Article

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 Creators:
Bell, Keaton J.1, Author              
Hekker, Saskia1, Author              
Kuszlewicz, James1, Author              
Affiliations:
1Max Planck Research Group in Stellar Ages and Galactic Evolution (SAGE), Max Planck Institute for Solar System Research, Max Planck Society, ou_2265636              

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Free keywords: methods: data analysis, methods: statistical, stars: oscillations
 Abstract: Detecting the presence and characteristic scale of a signal is a common problem in data analysis. We develop a fast statistical test of the null hypothesis that a Fourier-like power spectrum is consistent with noise. The null hypothesis is rejected where the local ‘coefficient of variation’ (CV) – the ratio of the standard deviation to the mean – in a power spectrum deviates significantly from expectations for pure noise (CV ≈ 1.0 for a χ2 2-degrees-of-freedom distribution). This technique is of particular utility for detecting signals in power spectra with frequency-dependent noise backgrounds, as it is only sensitive to features that are sharp relative to the inspected frequency bin width. We develop a CV-based algorithm to quickly detect the presence of solar-like oscillations in photometric power spectra that are dominated by stellar granulation. This approach circumvents the need for background fitting to measure the frequency of maximum solar-like oscillation power, νmax. In this paper, we derive the basic method and demonstrate its ability to detect the pulsational power excesses from the well-studied APOKASC-2 sample of oscillating red giants observed by Kepler. We recover the catalogued νmax values with an average precision of 2.7 per cent for 99.4 per cent of the stars with 4 yr of Kepler photometry. Our method produces false positives for <1 per cent of dwarf stars with νmax well above the long-cadence Nyquist frequency. The algorithm also flags spectra that exhibit astrophysically interesting signals in addition to single solar-like oscillation power excesses, which we catalogue as part of our characterization of the Kepler light curves of APOKASC-2 targets.

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Language(s): eng - English
 Dates: 2019-04-242019
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1093/mnras/sty2731
 Degree: -

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Title: Monthly Notices of the Royal Astronomical Society
  Other : Mon. Not. R. Astron. Soc.
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Oxford : Oxford University Press
Pages: - Volume / Issue: 482 (1) Sequence Number: - Start / End Page: 616 - 625 Identifier: ISSN: 1365-8711
CoNE: https://pure.mpg.de/cone/journals/resource/1000000000024150