Comments on cross-correlation methodology in variability studies of active galactic nuclei

Details Comments on cross-correlation methodology in variability studies of active galactic nuclei Comments on cross-correlation methodology in variability studies of active galactic nuclei

Aug 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994pasp..106..879w&link_type=abstract

Astronomical Society of the Pacific, Publications (ISSN 0004-6280), vol. 106, no. 702, p. 879-889

Statistics

Methodology

170

Active Galactic Nuclei, Astronomical Models, Continuums, Cross Correlation, Light Curve, Real Variables, Algorithms, Emission Spectra, Line Spectra, Monte Carlo Method, Time Lag, Transfer Functions

Scientific paper

We discuss two separate cross-correlation methodologies, the interpolation method of Gaskell and Sparke and the discrete correlation function of Edelson and Krolik, that are commonly used to quantify the lags between continuum and emission-line flux variations in active galactic nuclei (AGNs). We show that if similar assumptions are made to normalize the cross-correlation functions, the two methods are in good agreement for well-sampled AGN light curves. We also investigate the performance of cross-correlation methodology for less well-sampled data sets through Monte Carlo simulations that employ realistic models of the continuum behavior (based on well-observed Seyfert galaxies) and typical emission-line response times. We find that the interpolation method fairly accurately recovers the emission-line lags as the sampling is degraded (i.e., as the number of observed points is reduced). We find that for the case investigated, the emission-line lags can be determined with reasonable accuracy even with mean sampling intervals as large as around two weeks.

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