. Author manuscript; available in PMC: 2015 Jan 1.

Published in final edited form as: Ann Appl Stat. 2014;8(2):1182–1208. doi: 10.1214/14-AOAS730

Table 2.

Results for Experiment 1 and 2 across a range of time points: integrated absolute bias, average pointwise variance, and average 95% coverage probabilities of estimators at different censoring rates. Results based on 500 simulations with sample size n = 500.

	Censoring rate
	0%		20%		40%
Estimator	F₁ (t)	F₂ (t)	F₁ (t)	F₂ (t)	F₁ (t)	F₂ (t)
		Experiment 1

	Integrated absolute bias^*

EM-PAVA	0.0085	0.0065	0.0190	0.0071	0.0327	0.0199
Oracle EFFAIPW	0.0040	0.0055	0.0248	0.0232	0.0967	0.0689
type I NPMLE	0.1409	0.0407	0.2276	0.1063	0.4726	0.5084
type II NPMLE	0.4290	0.2960	0.5656	0.3332	0.7127	0.3814
	Average pointwise variance^*

EM-PAVA	0.0009	0.0005	0.0012	0.0006	0.0015	0.0014
Oracle EFFAIPW	0.0009	0.0005	0.0011	0.0007	0.0016	0.0015
type I NPMLE	0.0010	0.0013	0.0013	0.0017	0.0022	0.0038
type II NPMLE	0.0006	0.0003	0.0013	0.0004	0.0024	0.0009
	Average 95% coverage probabilities^†

EM-PAVA	0.9512	0.9551	0.9530	0.9518	0.9513	0.9535
Oracle EFFAIPW	0.9498	0.9557	0.9535	0.9514	0.9519	0.9445
type I NPMLE	0.9471	0.9508	0.9378	0.9344	0.9130	0.8458
type II NPMLE	0.3756	0.5838	0.4234	0.5927	0.3890	0.6760

		Experiment 2

	Integrated absolute bias^**

EM-PAVA	0.1372	0.0342	0.1140	0.0307	0.1049	0.0261
Oracle EFFAIPW	0.0966	0.0266	0.1282	0.0729	0.2704	0.1215
type I NPMLE	0.1097	0.0467	0.0770	0.0574	0.0791	0.0557
type II NPMLE	3.7021	2.4581	3.9157	2.4937	4.4027	2.5877
	Average pointwise variance^**

EM-PAVA	0.0011	0.0003	0.0013	0.0003	0.0014	0.0003
Oracle EFFAIPW	0.0011	0.0003	0.0013	0.0003	0.0015	0.0003
type I NPMLE	0.0013	0.0007	0.0016	0.0007	0.0017	0.0008
type II NPMLE	0.0006	0.0001	0.0006	0.0001	0.0007	0.0002
	Average 95% coverage probabilities^††

EM-PAVA	0.9564	0.9495	0.9538	0.9513	0.9552	0.9530
Oracle EFFAIPW	0.9547	0.9436	0.9518	0.9475	0.9507	0.9467
type I NPMLE	0.9556	0.9479	0.9506	0.9492	0.9505	0.9481
type II NPMLE	0.5738	0.4737	0.5781	0.4740	0.5504	0.4805

Computed over (0,10) for F₁ (t) and F₂ (t).

^†

Computed over (0,4) for F₁(t) and over (0,9) for F₂(t).

^**

Computed over (0,100) for F₁ (t) and F₂ (t).

^††

Computed over (48,100) for F₁ (t) and F₂ (t).