Earthquake interevent time distribution in Kachchh, Northwestern India

Earth, Planets and Space

Table 3 Estimated parameter values along with their asymptotic standard deviations and confidence bounds

Model	Parameter values		Asymptotic standard deviation		Confidence interval (95 %)
Model	Parameter values		Asymptotic standard deviation		Lower	Upper
Exponential	α	13.346380	σ _α	3.566970	6.355119	20.337641
Gamma	α	11.312436	σ _α	4.725639	2.050184	20.574688
Gamma	β	1.179797	σ _β	0.398276	0.399176	1.960418
Lognormal	α	2.167443	σ _α	0.271801	1.634713	2.700173
Lognormal	β	1.013243	σ _β	0.191485	0.637932	1.388554
Weibull	α	14.173818	σ _α	3.347283	7.613143	20.734493
Weibull	β	1.191600	σ _β	0.248309	0.704914	1.678286
Levy	α	5.089593	σ _α	1.923685	1.319170	8.860016
Maxwell	α	9.953759	σ _α	1.086044	7.825113	12.082405
Pareto^a	α	1.169863	σ _α	0.232367	0.714424	1.169863
Pareto^a	β	0.497375	σ _β	0.174958	0.154457	0.840293
Rayleigh	α	12.190815	σ _α	1.629066	8.997846	15.383784
Inverse Gaussian	α	13.346380	σ _α	4.543217	4.441675	22.251085
Inverse Gaussian	β	8.226885	σ _β	3.109476	2.132312	14.321458
Inverse Weibull	α	5.169580	σ _α	1.499738	2.230094	8.109066
Inverse Weibull	β	0.970010	σ _β	0.202133	0.573829	1.366191
Exponentiated exponential	α	0.089602	σ _α	0.007673	0.074563	0.104641
Exponentiated exponential	β	1.336289	σ _β	0.368175	0.614666	2.057912
Exponentiated Rayleigh^b	α	22.635345	–
Exponentiated Rayleigh^b	β	0.463758	–
Exponentiated Weibull^b	α	15.964143	–
	β	1.319327
	γ	0.847971

^aFor Pareto distribution, we calculated (Quandt 1966) exact standard deviations (σ _α, σ _β) of the estimated parameters; also, the upper confidence bound is capped at 1.169863, as α < t
^bThe parametric uncertainties of exponentiated Rayleigh and exponentiated Weibull distributions are not calculated, as the FIMs are not completely known (Pal et al. 2006)