Significance testing of periodogram ordinates

Details Significance testing of periodogram ordinates Significance testing of periodogram ordinates

Jan 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...348..700k&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004- 637X), vol. 348, Jan. 10, 1990, p. 700-702. Research, supported by the National Scienc

Statistics

Computation

52

Computational Astrophysics, Time Series Analysis, Variance (Statistics), Periodic Variations, Statistical Analysis

Scientific paper

This paper discusses the theory and assumptions involved in the use of periodograms for seeking periodicities in astronomical time series. It is shown that previously derived formula for 'false alarm' probabilities severely underestimates the potential statistical errors, and that the most often used statistical hypothesis is inappropriate for testing for the presence of specific periodicities. An attempt was made to quantify the concept of 'independent frequencies', but the term is found to be misleading. It is suggested that the term needs reformulation.

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