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Integrated Omori's law

Usage

Int_ETAS_time_trig_function(theta, th, T2)

Arguments

theta

ETAS parameters list(mu=mu, K=K, alpha=alpha, c=c, p=p)

th

Time of past event [days] and start of temporal domain, vector.

T2

End of temporal domain, scalar.

Value

Value of the integral of Omori's law

Details

The function returns the integral of Omori's law, namely $$\int_{t_h}^{T_2} \left(\frac{t - t_h}{c} + 1\right)^{-p} dt$$