. Author manuscript; available in PMC: 2013 Oct 1.

Published in final edited form as: J Stat Comput Simul. 2012 Jul 5;82(10):1449–1470. doi: 10.1080/00949655.2011.581669

Table 14.

Simulation results: empirical mean (standard error) of the dependence parameter, regression coefficient and the marginal hazard functions with τ = 0.45 and 30%-50% censoring rate.

			Λ^m(0.05)		Λ^m(0.1)		Λ^m(0.15)		Λ^m(0.2)
	θ	β^m	Z=0	Z=l	Z=0	Z=l	Z=0	Z=l	Z=0	Z=l
True frailty distribution: gamma
True value	2.2	0.693	0.05	0.1	0.1	0.2	0.15	0.3	0.2	0.4
Used: gamma	2.26(0.486)	0.696(0.096)	0.049(0.008)	0.099(0.015)	0.099(0.014)	0.198(0.027)	0.148(0.021)	0.295(0.04)	0.186(0.029)	0.372(0.055)
True frailty distribution: inverse Gaussian (IG)
True value	380	0.693	0.05	0.1	0.1	0.2	0.15	0.3	0.2	0.4
Used: IG	407(222)	0.691(0.094)	0.053(0.018)	0.104(0.031)	0.104(0.031)	0.205(0.051)	0.153(0.041)	0.302(0.068)	0.190(0.049)	0.376(0.083)
Used: gamma	-	0.695(0.084)	0.022(0.012)	0.043(0.024)	0.038(0.021)	0.076(0.042)	0.051(0.028)	0.103(0.057)	0.061(0.034)	0.121(0.068)
True frailty distribution: positive stable (PS)
True value	0.5	0.693	0.05	0.1	0.1	0.2	0.15	0.3	0.2	0.4
Used: PS	0.526(0.057)	0.696(0.080)	0.051(0.012)	0.099(0.021)	0.105(0.019)	0.207(0.031)	0.159(0.028)	0.314(0.046)	0.209(0.033)	0.413(0.055)
Used: gamma	-	0.661(0.077)	0.032(0.010)	0.065(0.021)	0.057(0.018)	0.115(0.037)	0.078(0.026)	0.157(0.052)	0.096(0.032)	0.192(0.064)