Journal of Statistical Distributions and Applications

Table 5 Model performance and comparison using simulation study (n=100) with about 40% censored observations

From: Generalized log-logistic proportional hazard model with applications in survival analysis

				Generalized
	Parameter			log-logistic PH				Weibull PH				Cox PH
Scenarios		True		Mean	AB	MSE		Mean	AB	MSE		Mean	AB	MSE
Scenario 1	β ₁	0.50		0.524	0.024	0.024		0.531	0.031	0.024		0.524	0.024	0.025
(True model:	β ₂	−0.50		−0.538	0.038	0.032		−0.545	0.045	0.033		−0.536	0.036	0.032
generalized	β ₃	0.75		0.798	0.048	0.088		0.808	0.058	0.090		0.795	0.045	0.091
Weibull)	β ₄	−0.75		−0.780	0.030	0.081		−0.792	0.042	0.083		−0.782	0.032	0.083
	ρ	0.10		0.148				0.103
	κ	0.50		0.550				0.508
	γ	−0.10		0.073
Scenario 2	β ₁	0.50		0.516	0.016	0.027		0.518	0.018	0.027		0.532	0.032	0.031
(True model:	β ₂	−0.50		−0.522	0.022	0.035		−0.523	0.023	0.035		−0.533	0.033	0.039
generalized	β ₃	0.75		0.785	0.035	0.099		0.788	0.038	0.099		0.813	0.063	0.112
Weibull)	β ₄	−0.75		−0.765	0.015	0.082		−0.768	0.018	0.082		−0.796	0.046	0.092
	ρ	0.10		0.107				0.106
	κ	2.00		2.269				2.249
	γ	0.10		0.006
Scenario 3	β ₁	0.50		0.519	0.019	0.025		0.530	0.030	0.026		0.516	0.016	0.026
(True model:	β ₂	−0.50		−0.548	0.048	0.038		−0.557	0.057	0.039		−0.547	0.047	0.039
generalized	β ₃	0.75		0.791	0.041	0.099		0.811	0.061	0.103		0.791	0.041	0.102
Weibull)	β ₄	−0.75		−0.790	0.040	0.089		−0.811	0.061	0.093		−0.792	0.042	0.095
	ρ	0.10		0.103				0.098
	κ	2.00		2.130				2.016
	γ	−0.10		0.024

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