Statistical seismilogy

Catalogs

• Harvard globalcentroid moment tensor catalog
  • CMT solutions of global earthquakes M>5.
• The ISC-GEM catalog
  • 1904-2018, magnitude 5 and above for continental region and 5.5 for the rest.

Scaling laws

magnitude-frequency distribution

Omori-Utsu law

The frequency of aftershocks per unit time interval

• t: time since mainshock
• c, p: parameters

rate of aftershocks

Båth’s Law

Scaling Ahoy!

• @Wells1994

Fault dimension and magnitude

• @Kase2010

Statistical terms

• aleatory
  • random
• epistemic
  • relating to the knowledge or the degree of its validation

coefficient of variation

• where and are standard deviation and average of the inter-event time
• The measurement is common for paleoseismology studies.

Likelihood, maximum likelihood and getting b-values and Mc.

The principle of maximum likelihood Kolmogorov–Smirnov test - Wikipedia Compare a sample with a reference probability distribution

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See also

• Earthquakes as point processes
• ETAS
• Probabilistic seismic hazard assessment