TABLE 1.

Simulation results with independent censoring.

		α1				α2				$\omega ({\beta }_{*},\widehat{\beta })$
	N	Bias	SD	SE	CP	Bias	SD	SE	CP	Mean	SD
g(t) = exp(t)
S1. Linear case
GMRL	2000	0.001	0.082	0.088	95.8	0.006	0.086	0.088	95.0	6.90	3.07
PLSI GMRL	2000	0.001	0.082	0.088	96.0	0.006	0.086	0.089	95.2	7.41	3.38
GMRL	4000	0.001	0.063	0.062	94.2	0.001	0.062	0.062	95.6	4.74	1.93
PLSI GMRL	4000	0.001	0.063	0.062	94.4	0.001	0.062	0.062	96.0	4.87	1.96
S2. Sine curve case
GMRL	2000	−0.001	0.084	0.080	93.4	0.003	0.078	0.081	96.4	3.63	1.53
PLSI GMRL	2000	0.003	0.083	0.079	93.2	0.003	0.076	0.079	93.2	3.21	1.30
GMRL	4000	0.003	0.056	0.056	94.8	−0.005	0.058	0.057	94.4	2.60	1.12
PLSI GMRL	4000	0.003	0.055	0.055	95.4	−0.005	0.057	0.056	93.8	2.31	0.98
S3. Quadratic case
GMRL	2000	−0.005	0.088	0.087	95.8	−0.005	0.087	0.087	95.0	75.67	31.17
PLSI GMRL	2000	−0.004	0.088	0.086	95.2	−0.008	0.087	0.086	94.8	11.43	5.20
GMRL	4000	−0.001	0.062	0.061	93.2	−0.004	0.063	0.061	94.6	72.02	30.85
PLSI GMRL	4000	0.001	0.061	0.060	94.2	−0.005	0.062	0.061	93.6	8.01	3.58
g(t) = t
S1. Linear case
GMRL	2000	0.002	0.107	0.103	93.3	−0.010	0.108	0.103	94.1	9.77	4.15
PLSI GMRL	2000	0.002	0.107	0.103	92.7	−0.011	0.108	0.103	93.7	10.76	4.99
GMRL	4000	−0.002	0.076	0.074	94.2	0.003	0.074	0.074	94.8	6.82	2.94
PLSI GMRL	4000	−0.002	0.076	0.074	94.2	0.002	0.074	0.074	94.6	7.14	3.21
S2. Sine curve case
GMRL	2000	0.001	0.259	0.242	93.4	0.016	0.257	0.241	92.8	6.64	2.76
PLSI GMRL	2000	0.001	0.258	0.241	93.8	0.016	0.255	0.239	93.4	6.45	3.05
GMRL	4000	0.001	0.174	0.176	95.2	0.001	0.174	0.176	94.8	4.57	1.90
PLSI GMRL	4000	−0.001	0.174	0.175	95.4	0.002	0.173	0.175	94.6	4.15	1.80
S3. Quadratic case
GMRL	2000	−0.006	0.053	0.052	93.8	0.001	0.054	0.052	94.2	66.37	35.71
PLSI GMRL	2000	−0.002	0.050	0.050	94.0	0.002	0.052	0.050	94.4	9.35	4.83
GMRL	4000	−0.003	0.039	0.037	93.0	−0.002	0.038	0.037	94.0	65.54	34.92
PLSI GMRL	4000	0.001	0.037	0.035	92.8	0.001	0.037	0.035	93.8	6.19	3.00

GMRL: generalized mean residual life model; PLSI GMRL: partially linear single-index generalized mean residual life model; SD: sample standard deviation; SE: mean of estimated standard error; CP: empirical coverage probability of 95% confidence interval; $\omega \left({\beta }_{*},\widehat{\beta }\right)$ was calculated by arccos $\left(〈{\beta }_{*},\widehat{\beta }〉/\Vert \widehat{\beta }\Vert \cdot ‖{\beta }_{*}‖\right)$; Censoring rate was 10%.