Frequency Distribution of Bursts from Randomly Flashing Objects Determined by the Method of Moments

A new method is proposed for determining the frequency distribution of bursts from randomly flashing objects based on fitting Pearson distributions by the method of moments. This method is applied to flare stars in the Pleiades cluster and the Orion association. The desired frequency distribution of the bursts from flare stars can be approximated by a gamma distribution. The burst frequency distribution describes the observed statistical picture fairly well. The result is compared with other methods.