Table 2.
(A)Absolute bias for the proposed method and the ratio bias (naive/proposed) and (B) mean square error (MSE) of the naive and the proposed bias-corrected estimates corresponding to Table 1. See Table 1 caption for details.
(A) Bias | β 1 | β 2 | β 3 | |||
---|---|---|---|---|---|---|
| ||||||
Pattern | Proposed | Ratio | Proposed | Ratio | Proposed | Ratio |
(a) | 0.008 | 8.125 | 0.006 | 11.167 | 0.019 | 4.105 |
(b) | 0.003 | 12.333 | 0.016 | 3.562 | 0.020 | 4.300 |
(c) | 0.008 | 5.000 | 0.004 | 15.500 | 0.008 | 12.000 |
(d) | 0.019 | 4.526 | 0.031 | 0.581 | 0.005 | 24.200 |
(e) | 0.008 | 2.125 | 0.010 | 1.700 | 0.010 | 7.700 |
(f) | 0.003 | 29.667 | 0.007 | 1.143 | 0.004 | 21.000 |
(B) MSE | ||||||
---|---|---|---|---|---|---|
Pattern | Naive | Proposed | Naive | Proposed | Naive | Proposed |
(a) | 0.012 | 0.017 | 0.017 | 0.023 | 0.021 | 0.030 |
(b) | 0.015 | 0.032 | 0.014 | 0.024 | 0.018 | 0.019 |
(c) | 0.013 | 0.025 | 0.010 | 0.014 | 0.022 | 0.027 |
(d) | 0.016 | 0.017 | 0.012 | 0.028 | 0.026 | 0.017 |
(e) | 0.011 | 0.026 | 0.012 | 0.026 | 0.021 | 0.028 |
(f) | 0.017 | 0.018 | 0.013 | 0.031 | 0.020 | 0.028 |