The discrete correlation function - A new method for analyzing unevenly sampled variability data

Statistics – Computation

Scientific paper

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Active Galactic Nuclei, Quasars, Radio Sources (Astronomy), Seyfert Galaxies, Stellar Luminosity, Ultraviolet Radiation, Computational Astrophysics, Cross Correlation, Emission Spectra, Line Spectra

Scientific paper

A method of measuring correlation functions without interpolating in the temporal domain, "the discrete correlation function," is introduced. It provides an assumption-free representation of the correlation measured in the data and allows meaningful error estimates. This method avoids the problem of spurious correlations at zero lag due to correlated errors. The method is applied to the case of AGN line-continuum cross-correlation functions by using published data for Akn 120 and NGC 4151. No correlation was found for the optical data for Akn 120, but the ultraviolet NGC 4151 data show a strong correlation, indicating that the broad C IV feature emanates from a region whose size is greater than 1.2 and less than 20 light-days.

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