Table 3.

Summary of results in the second simulation study with high degree of positivity violation based on 1000 Monte Carlo replications for estimating μ; all values have been multiplied by 100.

	n = 1000			n = 5000			n = 10,000
	Bias	RMSE	Coverage	Bias	RMSE	Coverage	Bias	RMSE	Coverage
${\widehat{\mu }}_{\text{AIPW}}(\text{CC})$	3	28	92	4	31	92	5	41	91
${\widehat{\mu }}_{\text{AIPW}}(\text{CM})$	5	42	93	8	111	91	1	165	91
${\widehat{\mu }}_{\text{AIPW}}(\text{MC})$	3	29	93	−8	549	94	−74	3482	94
${\widehat{\mu }}_{\text{AIPW}}(\text{MM})$	58	171	89	2651	14,295	80	18,648	133,237	81
$\widehat{\mu }(\text{CC})$	3	27	93	2	49	98	−7	82	93
$\widehat{\mu }(\text{CM})$	3	33	93	2	63	91	8	82	93
$\widehat{\mu }(\text{MC})$	3	27	92	2	54	95	−8	89	92
$\widehat{\mu }(\text{MM})$	23	51	90	33	99	88	23	119	92
$\tilde{\mu }(\text{CC})$	3	27	93	2	49	96	−7	82	93
$\tilde{\mu }(\text{CM})$	3	33	93	2	63	91	8	82	93
$\tilde{\mu }(\text{MC})$	3	28	92	2	54	95	−8	89	92
$\tilde{\mu }(\text{MM})$	23	51	90	33	99	88	23	119	92