Studies in astronomical time series analysis. II - Statistical aspects of spectral analysis of unevenly spaced data
Studies in astronomical time series analysis. II - Statistical aspects of spectral analysis of unevenly spaced data is a research paper published in The Astrophysical Journal (1982). On theSindex it has a DataRank of 1.3. It has been cited 7,315 times.
Abstract
view Abstract Citations (5172) References (28) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Studies in astronomical time series analysis. II. Statistical aspects of spectral analysis of unevenly spaced data. Scargle, J. D. Abstract Detection of a periodic signal hidden in noise is frequently a goal in astronomical data analysis. This paper does not introduce a new detection technique, but instead studies the reliability and efficiency of detection with the most commonly used technique, the periodogram, in the case where the observation times are unevenly spaced. This choice was made because, of the methods in current use, it appears to have the simplest statistical behavior. A modification of the classical definition of the periodogram is necessary in order to retain the simple statistical behavior of the evenly spaced case. With this modification, periodogram analysis and least-squares fitting of sine waves to the data are exactly equivalent. Certain difficulties with the use of the periodogram are less important than commonly believed in the case of detection of strictly periodic signals. In addition, the standard method for mitigating these difficulties (tapering) can be used just as well if the sampling is uneven. An analysis of the statistical significance of signal detections is presented, with examples Publication: The Astrophysical Journal Pub Date: December 1982 DOI: 10.1086/160554 Bibcode: 1982ApJ...263..835S Keywords: Astronomy; Signal Detection; Spectrum Analysis; Statistical Distributions; Time Series Analysis; Fourier Transformation; Frequency Response; Power Spectra; Signal To Noise Ratios; Astronomy full text sources ADS | Related Materials (5) Part 1: 1981ApJS...45....1S Part 3: 1989ApJ...343..874S Part 4: 1990ApJ...359..469S Part 5: 1998ApJ...504..405S Part 6: 2013ApJ...764..167S
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FAIR Checklist
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DataRank Breakdown
Base Score Contribution
1.3
From this paper's citation signal
Citation Network Contribution
0
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This paper's DataRank is currently driven only by its base citation score. Citation network data was not refreshed for this result.
Learn more about DataRank methodology →Why this DataRank?
DataRank blends this paper's own citation count with the influence of the papers that cite it. Here, roughly 100% comes from its base citations and 0% from the citation network.
- Base score B(p)
- log1p(citation_count) — grows sub-linearly, so a paper with 1,000 citations is not 10× a paper with 100.
- Network N(p)
- Σ over citers of log1p(Cq) ÷ max(outdegreeq, 1). Being cited by a highly-cited paper with few references counts most.
- Damping factor d = 0.85
- DataRank = (1−d)·B(p) + d·N(p) — the two cards above are each already multiplied by their share.
- Self-citations excluded
- Citers sharing any OpenAlex author ID with this paper are filtered out before the network sum.
Citers are pulled from OpenAlex sorted by cited_by_count:descand capped per paper, so when the cap binds we keep the highest-signal references and the score is reproducible across reruns.