Table 5.

The comparison of the AIC between the Cox proportional hazard model and shared frailty parametric model

Model types	Baseline hazard distribution	Frailty distribution	AIC	BIC	LR
Semiparametric	Cox	NA	34166.15	34167.50	−17080.075
		Gamma	31189.4	31194.75	−15593.7
Flexible parametric	Roston and Mambert	NA	165689.3	165753.4	−82838.7
Flexible parametric	Roston and Mambert	Gamma	161,296	161541.5	−80,625
Parametric	Exponential	Gamma	14426.89	14451.44	−7210.45
		Lognormal	14423.66	14448.2	−7208.83
		I. gaussian	14424.69	14449.23	−7209.34
		Stable positive	14445.91	14470.46	−7219.96
		NA (UAPHM)	14574.21	14590.58	−7285.11

NA no specific distribution (without frailty term), AIC Akaike Information Criteria, BIC Bayesian Information Criteria, LR Loglikelihood Ratio, I.gaussian inverse gaussian