An Efficient Estimation of the Mean Residual Life Function with Length-Biased Right-Censored Data
Table 1
Simulation results for nonparametric estimators based on replications.
Bias
SE
MSE
Bias
SE
MSE
0.2
0.4
51
28
34
2
29
8
0.4
0.3
50
21
30
0
20
4
0.6
0.2
50
16
28
0
15
2
0.8
0.1
50
14
27
0
11
1
0.2
0.4
51
20
30
1
20
4
0.4
0.3
51
14
28
1
14
2
0.6
0.2
50
11
26
0
11
1
0.8
0.1
50
7
25
0
7
1
0.2
0.4
49
32
35
1
30
9
0.4
0.3
49
28
31
1
22
5
0.6
0.2
48
29
31
0
17
3
0.8
0.1
45
56
51
0
12
1
0.2
0.4
50
21
30
1
21
5
0.4
0.3
50
16
28
0
15
2
0.6
0.2
50
15
28
1
12
1
0.8
0.1
51
15
28
1
8
1
0.2
0.4
49
62
62
2
32
10
0.4
0.3
53
233
572
−2
26
7
0.6
0.2
37
160
268
5
21
5
0.8
0.1
107
1733
30130
−1
15
2
0.2
0.4
49
24
30
2
22
5
0.4
0.3
50
43
43
2
19
4
0.6
0.2
48
26
30
−2
14
2
0.8
0.1
53
134
208
−1
11
1
Notes for the numerical results based on replications in Table 1: (1) Bias the empirical bias × 103; (2) SE the empirical standard deviation × 103; (3) MSE the empirical mean square error × 104.