Simulation of an X-ray light curve with a flare. Top panel: the cumulative distribution function (CDF) of a constant function (green line) representing the non-flaring emission and a Gaussian function (blue line) representing the flaring emission. The non-flaring emission has a count rate CR = 0.1 count s-1. The flare is defined with a peak amplitude Apeak = 0.2 count s-1 at tpeak = 17500 s and σ = 1500 s (corresponding to a full width at half maximum of 3532 s) leading to a number of counts in the flare of Ng = 752. Bottom panel: the constant and Gaussian light curve models are represented in green and blue, respectively. The red line indicates the model of the light curve with flare. The ticks at the top of this panel represent 5% of the simulated arrival times. The resulting light curve and its error bars are computed for a bin time of 100 s. The results of the Bayesian block algorithm with a false positive rate for the flare detection of 0.1% are shown with dashed lines.
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