Table 1. Cumulative coefficients at times 1–5: true values, mean of the estimates (and empirical SE) obtained using MSM-IPTW from 1000 simulations, and bias in the estimates (and Monte Carlo SE) obtained using MSM-IPTW.

Time	True value	MSM-IPTW
		Mean estimate (Empirical SE)	Bias (Monte Carlo SE)
Cumulative coefficient ${{{\displaystyle \int }}^{\text{}}}_0^t{\tilde{\alpha }}_0(s)ds$
1	0.700 (0.009)	0.699 (0.016)	−0.001 (0.000)
2	1.408 (0.016)	1.407 (0.028)	−0.000 (0.001)
3	2.128 (0.026)	2.129 (0.045)	0.002 (0.001)
4	2.863 (0.040)	2.867 (0.070)	0.003 (0.002)
5	3.623 (0.058)	3.630 (0.110)	0.007 (0.003)
Cumulative coefficient ${{{\displaystyle \int }}^{\text{}}}_0^t{\tilde{\alpha }}_{A0}(s)ds$
1	−0.198 (0.010)	−0.199 (0.037)	−0.001 (0.001)
2	−0.396 (0.017)	−0.397 (0.065)	−0.000 (0.002)
3	−0.594 (0.023)	−0.592 (0.100)	0.001 (0.003)
4	−0.790 (0.033)	−0.788 (0.150)	0.002 (0.005)
5	−0.987 (0.042)	−0.968 (0.231)	0.018 (0.007)
Cumulative coefficient ${{{\displaystyle \int }}^{\text{}}}_0^t{\tilde{\alpha }}_{A1}(s)ds$ (equal to zero for t ≤ 1)
2	−0.098 (0.013)	−0.102 (0.057)	−0.004 (0.002)
3	−0.195 (0.021)	−0.206 (0.096)	−0.011 (0.003)
4	−0.291 (0.030)	−0.303 (0.155)	−0.013 (0.005)
5	−0.386 (0.039)	−0.390 (0.245)	−0.005 (0.008)
Cumulative coefficient ${{{\displaystyle \int }}^{\text{}}}_0^t{\tilde{\alpha }}_{A2}(s)ds$(equal to zero for t ≤ 2)
3	−0.077 (0.017)	−0.076 (0.078)	0.001 (0.002)
4	−0.153 (0.027)	−0.153 (0.139)	0.000 (0.004)
5	−0.228 (0.039)	−0.222 (0.232)	0.006 (0.007)
Cumulative coefficient ${{{\displaystyle \int }}^{\text{}}}_0^t{\tilde{\alpha }}_{A3}(s)ds$(equal to zero for t ≤ 3)
4	−0.060 (0.021)	−0.061 (0.115)	−0.001 (0.004)
5	−0.121 (0.035)	−0.128 (0.211)	−0.007 (0.007)
Cumulative coefficient ${{{\displaystyle \int }}^{\text{}}}_0^t{\tilde{\alpha }}_{A4}(s)ds$(equal to zero for t ≤ 4)
5	−0.047 (0.028)	−0.039 (0.176)	0.008 (0.006)