Table 7.

Monte Carlo simulation study: estimation of Cox regression with dependent censoring, where T ~ Weibull(e^{ln(2)X−ln(2)Z},1.5), C ~ Weibull(e^−2X+0.1Z,1.4), $\text{X}~\text{Bernoulli}\left[\text{p}\left(\text{Z}\right)=\frac{1}{1+{\text{e}}^{0.25-0.5\text{Z}}}\right]$ and ${\delta }_{\text{x}}~\text{Bernoulli}\left[\text{P}\left({\text{Z,δ}}_{\text{t}},\text{Y}\right)=\frac{1}{1+{\text{e}}^{1.5+0.5\text{Z}-2\text{Y}}}\right.$.

	βx = ln(2) = 0.693					βz = ln(2) = 0.693
Method	Esta	SDb	SEc	RMSEd	CRe	Est	SD	SE	RMSE	CR	Divf
N = 200
FO	0.688	0.201	0.195	0.201	94.3	−0.714	0.308	0.316	0.309	95.5
CC	0.671	0.329	0.320	0.330	94.2	−0.940	0.531	0.518	0.586	92.6
PMM1	0.721	0.310	0.303	0.311	96.1	−0.703	0.319	0.330	0.319	95.2
AIPW11	0.705	0.331	0.296	0.331	91.8	−0.716	0.327	0.373	0.328	96.1	0
NNMI11(0.8,0.2)	0.717	0.338	0.315	0.339	93.0	−0.705	0.322	0.332	0.322	94.3
NNMI11(0.2,0.8)	0.692	0.339	0.320	0.339	94.1	−0.690	0.317	0.330	0.317	94.3
AIPW12	0.739	0.321	0.208	0.324	81.5	−0.779	0.378	0.450	0.388	96.1	191
NNMI12(0.8,0.2)	0.721	0.304	0.296	0.305	95.5	−0.713	0.325	0.331	0.326	94.1
NNMI12(0.2,0.8)	0.720	0.286	0.286	0.287	96.6	−0.714	0.322	0.331	0.323	94.7
AIPW21	0.706	0.331	0.296	0.331	92.1	−0.715	0.327	0.373	0.328	96.2	0
NNMI21(0.8,0.2)	0.724	0.331	0.313	0.332	94.0	−0.707	0.322	0.332	0.322	94.1
NNMI21(0.2,0.8)	0.696	0.335	0.319	0.335	94.4	−0.690	0.317	0.329	0.317	94.5
N = 400
FO	0.683	0.143	0.136	0.143	93.6	−0.701	0.228	0.221	0.228	95.0
CC	0.660	0.235	0.220	0.237	92.2	−0.927	0.379	0.358	0.445	88.8
PMM1	0.699	0.219	0.217	0.219	95.1	−0.698	0.238	0.231	0.238	94.9
AIPW11	0.691	0.230	0.206	0.230	92.2	−0.706	0.241	0.247	0.241	96.4	0
NNMI11(0.8,0.2)	0.697	0.233	0.217	0.233	94.0	−0.700	0.240	0.231	0.240	94.7
NNMI11(0.2,0.8)	0.688	0.234	0.224	0.234	94.2	−0.687	0.236	0.230	0.236	95.2
AIPW12	0.713	0.217	0.144	0.218	81.0	−0.760	0.279	0.270	0.287	94.9	150
NNMI12(0.8,0.2)	0.700	0.213	0.205	0.213	94.5	−0.705	0.239	0.230	0.239	95.3
NNMI12(0.2,0.8)	0.708	0.199	0.196	0.200	95.8	−0.708	0.238	0.230	0.238	94.8
AIPW21	0.690	0.230	0.206	0.230	92.3	−0.706	0.240	0.247	0.240	96.3	0
NNMI21(0.8,0.2)	0.700	0.232	0.216	0.232	94.1	−0.701	0.240	0.231	0.240	94.6
NNMI21(0.2,0.8)	0.688	0.234	0.221	0.234	94.4	−0.687	0.236	0.229	0.236	95.1

Note: Censoring rate: 0.35; Missing rate: 0.60.

^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.