Nowcasting earthquakes in Sulawesi Island, Indonesia

Geoscience Letters

Official Journal of the Asia Oceania Geosciences Society (AOGS)

Table 2 Asymptotic standard deviations and 90% CI of model parameters

Model¹	Parameter values		Asymptotic standard deviation²		Confidence interval² (90%)
Model¹	Parameter values		Asymptotic standard deviation²		Lower	Upper
Exponential	\(\hat{\alpha }\)	191.9540	\(\sigma_{{\hat{\alpha }}}\)	20.5796	158.1006	225.8074
Gamma	\(\hat{\alpha }\)	231.1659	\(\sigma_{{\hat{\alpha }}}\)	39.2204	166.6483	295.6835
Gamma	\(\hat{\beta }\)	0.8304	\(\sigma_{{\hat{\beta }}}\)	0.1068	0.6547	1.0061
Weibull	\(\hat{\alpha }\)	191.0590	\(\sigma_{{\hat{\alpha }}}\)	21.9706	154.9174	227.2006
Weibull	\(\hat{\beta }\)	0.9888	\(\sigma_{{\hat{\beta }}}\)	0.0825	0.8531	1.1245

¹For the exponentiated exponential model, the parametric uncertainties cannot be computed as the trigamma function \(\psi ^{\prime}\left( {\beta - 1} \right)\) is not defined for \(\hat{\beta } < 1\) (see Pasari and Dikshit 2015, 2015a, 2015b; Pasari 2018)
²For the computation of asymptotic standard deviation and 90% confidence interval of the model parameters, we followed a surrogate approach of Fisher Information Matrix and associated Cramer–Rao lower bound theorem (see Pasari and Dikshit 2015, 2015a, 2015b; Pasari 2018)