Cross correlations of simulated blazar flaring data.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Radiation Mechanisms: Non Thermal, Methods: Statistical, Bl Lacertae Objects: General, Quasars: General

Scientific paper

We investigate the application of various correlation methods to the problem of determining the temporal lag between flux maxima in light curves produced by blazars in a flaring state. We generate simulated blazar light curves, and calculate the lag between different frequencies using three different correlation methods. A Monte Carlo process allows estimates of confidence intervals of derived lags to be obtained, and these are shown to be large. Irregular sampling is shown to be a major factor in increasing the width of the confidence intervals. In a comparison between the three cross-correlation methods, the linear interpolation technique of Gaskell & Peterson (1987) performs better than the discrete correlation function (DCF) of Edelson & Krolik (1988), having narrower confidence intervals. It can, however, underestimate the true lag thus lowering the chance of a significant detection. Estimating the lags by eye is seen to be surprisingly robust, and can be used as a check on the other two techniques.

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