TABLE 5.

Unconditional inferences for survival outcomes: (w₁, w₂, w₃, w₄) = (0.242, 0.045, 0.526, 0.187) and π = 1/3. Bias stands for the bias. ESE stands for the empirical standard errors. CP1 and CP2 stand for the empirical coverage levels of upper and lower 97.5% confidence intervals, respectively. $\widehat{P}\left(\left|b_{\pi w}\right|>SE/3\right)$ is the empirical probability that the absolute bias is greater than one third of the standard error of the naive estimator

n		Bias	ESE	CP1	CP2	$\widehat{P}\left(\left|b_{\pi w}\right|>SE/3\right)$
302	$\widehat{\theta }$	0.004	0.149	0.976	0.972	0.081
	${\widehat{\theta }}_{\pi w}$	0.003	0.148	0.970	0.965
	${\widehat{\theta }}_{\text{new}}$	0.004	0.148	0.969	0.965
723	$\widehat{\theta }$	0.001	0.097	0.975	0.972	0.081
	${\widehat{\theta }}_{\pi w}$	0.000	0.096	0.974	0.970
	${\widehat{\theta }}_{\text{new}}$	0.000	0.096	0.974	0.970
3894	$\widehat{\theta }$	0.000	0.041	0.978	0.974	0.084
	${\widehat{\theta }}_{\pi w}$	0.000	0.040	0.977	0.975
	${\widehat{\theta }}_{\text{new}}$	0.000	0.040	0.977	0.974