Earth, Planets and Space

Table 4 Model selection and validation from two goodness-of-fit tests: the maximum log-likelihood criterion (ln L) and the Kolmogorov-Smirnov (K-S) minimum distance criterion

From: Earthquake interevent time distribution in Kachchh, Northwestern India

	Maximum likelihood		K-S min. distance
Distribution	ln L	AIC	K-S distance^a
Exponential	−50.2774	102.5549	0.1228 (15.8136)
Gamma	−50.02s05	104.0411	0.1227 (06.9809)
Lognormal	−50.3935	104.7871	0.1495 (15.8136)
Weibull	−49.9635	103.9271	0.1505 (06.9809)
Levy	−53.9911	109.9821	0.1709 (20.0959)
Maxwell	−59.9866	121.9731	0.2819 (06.9809)
Pareto	−54.1220	112.2439	0.3488 (06.9809)
Rayleigh	−53.6749	109.3498	0.3055 (05.1123)
Inverse Gaussian	−50.6296	105.2592	0.1790 (15.8136)
Inverse Weibull	−51.8923	107.7907	0.1496 (05.1123)
Exponentiated exponential	−49.9800	103.9601	0.1406 (06.9809)
Exponentiated Rayleigh	−49.9891	103.9783	0.1714 (06.9809)
Exponentiated Weibull	−49.9611	105.9223	0.1549 (06.9809)

ln L – log-likelihood value, AIC – value of Akaike information criterion
^aNumber in parenthesis is the abscissa value, where K-S distance is achieved

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