Table 5.

Monte Carlo Simulation study: estimation of Cox regression with dependent censoring, where T Exponential $\text{T}\sim \text{~Exponential}\left[{\text{e}}^{\text{In}\left(2\right)\times \text{-In}\left(2\right)\text{Z}}\right]$, $\text{C}\sim \text{Exponential}\left[{\text{e}}^{\mathrm{-2X+0}\text{.IZ}}\right],$ $\text{X}\sim \text{Normal}\left(0.\text{I}5+\mathrm{Z,}\text{I}\right)$ and ${\delta }_{\text{X}}\sim \text{Bernoulli}\left[\text{p}\left({\text{Z,δ}}_{t,}\text{Y}\right)=\frac{\text{I}}{I+{\text{e}}^{\text{I}.5+0.5\text{Z-2Y}}}\right..$

	βx = In (2) = 0.693					βZ = −ln(2) = −0.693
Method	Esta	SDb	SEc	RMSEd	CRe	Est	SD	SE	RMSE	CR	Divf
N = 200
FO	0.668	0.1 13	0.1 14	0.1 16	94.4	-0.690	0.318	0.324	0.318	95.8
CC	0.700	0.168	0.170	0.168	96.1	-0.869	0.446	0.447	0.479	94.4
PMM1	0.592	0.123	0.143	0.159	92.5	-0.621	0.329	0.346	0.337	95.2
AIPW11	0.666	0.160	0.151	0.162	93.4	-0.687	0.346	0.373	0.346	96.5	1
NNMI11 ,(0.8,0.2)	0.656	0.150	0.150	0.155	94.3	-0.670	0.337	0.350	0.338	95.6
NNMI11(0.2,0.8)	0.655	0.154	0.153	0.159	94.5	-0.643	0.334	0.349	0.338	95.4
AIPW12	0.902	0.322	0.097	0.384	60.3	-0.814	0.575	0.517	0.588	89.8	1765
NNMI12(0.8,0.2)	0.616	0.127	0.142	0.149	92.9	-0.645	0.329	0.347	0.333	95.9
NNMI12(0.2,0.8)	0.594	0.1 16	0.138	0.153	91.8	-0.628	0.324	0.344	0.330	95.4
aipw21	0.667	0.162	0.151	0.164	93.4	-0.688	0.347	0.373	0.347	96.5	1
NNMI21(0.8,0.2)	0.656	0.148	0.149	0.153	94.2	-0.667	0.337	0.349	0.338	95.7
NNMI21(0.2,0.8)	0.655	0.154	0.154	0.159	94.1	-0.641	0.334	0.348	0.338	95.4
N = 400
FO	0.677	0.080	0.080	0.082	94.1	-0.695	0.224	0.227	0.224	94.9
CC	0.716	0.120	0.1 18	0.122	95.6	-0.870	0.307	0.309	0.354	91.6
PMM1	0.602	0.088	0.099	0.127	85.5	-0.639	0.234	0.243	0.240	95.4
AIPW11	0.676	0.106	0.106	0.107	94.6	-0.695	0.241	0.254	0.241	95.6	0
NNMI11 (0.8,0.2)	0.673	0.105	0.106	0.107	94.7	-0.686	0.240	0.244	0.240	95.4
NNMI11(0.2,0.8)	0.673	0.108	0.107	0.110	95.1	-0.667	0.240	0.243	0.241	95.6
AIPW1 2	0.926	0.224	0.069	0.323	44.0	-0.829	0.371	0.424	0.395	88.7	1596
NNMI12(0.8,0.2)	0.631	0.093	0.101	0.112	90.8	-0.663	0.233	0.243	0.235	96.3
NNMI12(0.2,0.8)	0.609	0.084	0.098	0.119	87.2	-0.643	0.228	0.242	0.233	95.6
aipw21	0.676	0.107	0.106	0.108	94.6	-0.695	0.241	0.254	0.241	95.6	0
NNMI21(0.8,0.2)	0.672	0.105	0.105	0.107	94.9	-0.685	0.240	0.244	0.240	95.7
NNMI21(0.2,0.8)	0.672	0.107	0.107	0.109	94.9	-0.667	0.239	0.243	0.240	95.3

Note: Censoring rate: 0.33; Missing rate: 0.47.

^aAverage of 1000 point estimates.

^bEmpirical standard deviation.

^cAverage estimated standard error.

^dRoot mean square error: square root of bias²+SD²

^eCoverage rate of 1000 95% confidence intervals.

^fNumber of disconvergences for AIPW