A comprehensive statistical study of the phenomenology of aftershock sequences is made in this paper. The spatial distribution of aftershocks indicates that they are mainly crustal events; however, deeper sequences also take place. The analysis of the distribution of aftershocks in 15 sequences with respect to time and magnitude leads to the statistical confirmation of a set of phenomenological laws describing the process, namely, the time-frequency law of hyperbolic decay of aftershock activity with time, the magnitude stability law, and the exponential magnitudefrequency distribution. The hypotheses involved are checked. The grouping of data and the statistical methods employed are chosen according to some basic well-confirmed assumptions regarding the nature of the process.

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Journal Annals of Geophysics
Ranalli, G. (2010). A statistical study of aftershock sequences. Annals of Geophysics, 53(1), 43–58.