Table 9.

Simulation results: empirical mean (standard error), mean squared error ×100 (MSE) and the relative efficiency (RE) of the regression coefficient and the marginalized hazard function estimates for 30%-40% censoring rate

		Λm(0.05)		Λm(0.1)		Λm(0.15)		Λm(0.2)
	βC	Z=0	Z=l	Z=0	Z=l	Z=0	Z=l	Z=0	Z=l
True frailty distribution: inverse Gaussian (IG)
True value	0.693	0.039	0.066	0.066	0.109	0.089	0.143	0.109	0.172
mean(SE): IG	0.703(0.128)	0.041(0.011)	0.069(0.015)	0.069(0.015)	0.113(0.020)	0.092(0.017)	0.147(0.023)	0.113(0.019)	0.177(0.026)
mean(SE): gamma	0.690(0.129)	0.034(0.006)	0.065(0.011)	0.058(0.008)	0.110(0.016)	0.079(0.011)	0.146(0.019)	0.097(0.013)	0.177(0.022)
MSE: IG	1.648	0.012	0.023	0.023	0.041	0.029	0.054	0.037	0.070
MSE: gamma	1.665	0.006	0.012	0.013	0.026	0.022	0.037	0.031	0.050
RE	0.984	3.361	1.859	3.515	1.560	3.388	1.465	2.136	1.396
True frailty distribution: positive stable (PS)
True value	0.693	0.192	0.282	0.282	0.413	0.352	0.516	0.413	0.604
mean(SE): PS	0.685(0.108)	0.187(0.028)	0.274(0.038)	0.276(0.034)	0.404(0.046)	0.345(0.039)	0.506(0.052)	0.405(0.043)	0.594(0.056)
mean(SE): gamma	0.695(0.124)	0.165(0.022)	0.293(0.035)	0.257(0.031)	0.434(0.045)	0.332(0.037)	0.542(0.052)	0.398(0.042)	0.632(0.058)
MSE: PS	1.172	0.080	0.151	0.119	0.219	0.157	0.280	0.191	0.323
MSE: gamma	1.538	0.121	0.134	0.158	0.246	0.177	0.338	0.199	0.415
RE	0.758	1.612	1.178	1.202	1.045	1.111	1.000	1.048	0.932
True frailty distribution: discrete (Disc)
True value	0.693	0.049	0.095	0.095	0.182	0.140	0.260	0.182	0.329
mean(SE): Disc	0.702(0.105)	0.049(0.006)	0.096(0.011)	0.096(0.010)	0.185(0.017)	0.141(0.013)	0.266(0.021)	0.184(0.016)	0.339(0.025)
mean(SE): gamma	0.678(0.114)	0.052(0.007)	0.099(0.014)	0.103(0.012)	0.186(0.021)	0.152(0.017)	0.265(0.027)	0.197(0.021)	0.335(0.032)
MSE: Disc	1.110	0.003	0.012	0.010	0.029	0.017	0.047	0.026	0.072
MSE: gamma	1.322	0.005	0.021	0.021	0.045	0.043	0.075	0.066	0.106
RE	0.848	0.734	0.617	0.694	0.655	0.584	0.604	0.580	0.610