In physics it is frequently needed to precisely measure the count rate of some process. Quite often one needs to account for electronics dead time, pile-up and other features of data acquisition system to avoid systematic shifts of the count rate. In this article we present a statistical mechanism to diminish or completely eliminate systematic errors arising from the correlation between the events. Also we present examples of application of this method to the analysis of "Troitsk numass" and "Tristan in Troitsk" experiments.