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Table 1 Biases and SE of \(\hat{\boldsymbol{\theta }}_{1}\), \(\hat{\boldsymbol{\theta }}_{2}\) under different missing functions and different sample sizes

From: Estimation of the mean of the partially linear single-index errors-in-variables model with missing response variables

Missing rate

n

\(\hat{\boldsymbol{\theta }}_{1}\)

\(\hat{\boldsymbol{\theta }}_{2}\)

0.40

100

−0.0305 (0.1290)

0.0088 (0.1299)

150

0.0101 (0.1088)

0.0072 (0.1079)

200

0.0162 (0.0904)

0.0055 (0.0904)

0.30

100

−0.0234 (0.1270)

0.0109 (0.1282)

150

0.0228 (0.1078)

0.0063(0.1065)

200

0.0166 (0.0892)

0.0064(0.0893)

0.20

100

−0.0394 (0.1247)

0.0122(0.1272)

150

0.0141 (0.1055)

0.0068(0.1056)

200

0.0120 (0.0875)

0.0069(0.0886)

0.10

100

0.0123 (0.1241)

0.0136(0.1261)

 

150

0.0107 (0.1038)

0.0073(0.1047)

 

200

0.0089 (0.0871)

0.0074(0.0879)