Power-law patterns in sequences of statistically related events preceding to the main event

Using a statistical model of related events and data from the seismic catalog of the FRC GS RAS for the period 01.01.1962-31.12.2002 (n = 79283 events) for the subduction zone of the Kuril-Кamchatka island arc (50^{\circ}-60^{\circ} N, 156^{\circ}-166^{\circ} E, classes 4.1-16.1, depths 0-600 km) the sequences of events preceding the main event of a given magnitude and associated with it in the spatio-temporal region are constructed. A statistical analysis of the power laws presence in these sequences was carried out on the basis of the relaxation model of deformation activity. It was possible to obtain power-law patterns in sequences of related events for main events thet energy class is less than 12. The exponent takes the values of 0.5-0.7. The possibility of detecting of power-law patterns for the main events of such an energy class is explained by a large sample size for them and by a by a small spatio-temporal region of event preparation that reduces the probability to got the aftershocks from events with larger energy preceding the one under consideration into the sequence of related events.