Statistics – Methodology
Scientific paper
Mar 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998mnras.294..657l&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 294, p. 657
Statistics
Methodology
8
Variable Stars, Autocorrelation, Stellar Models, Periodic Variations, Methodology
Scientific paper
For more than a century now astronomers have used the O-C (Observed minus Calculated) method to detect the presence of systematic changes in the periods of variable stars. The method is based on an analysis of residuals from a linear fit to the observed epochs. A rather common error in applications of the method is a failure to make provision for autocorrelation which exists in the data. In this paper, we consider a model that accounts for the presence of autocorrelation and develop an alternative to the O-C method of analysis. The proposed method focuses on the frequency domain characteristics of observed periods. Its use is illustrated by application to data from the variable stars X Aurigae and RY Sagittarii.
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