Table 5 Parameter estimates and the 2-norm results between the parameter estimates and true values for the second example
Parameter | LS | WLS | bcWLS | Algorithm 2 | Algorithm 3 I | Algorithm 3 II | True value |
|---|---|---|---|---|---|---|---|
\(\hat{\beta }_{1}\) | 9.4812 | 9.7034 | 9.6968 | 7.6056 | 9.8685 | 9.9992 | 10 |
\(\hat{\beta }_{2}\) | 5.6544 | 3.9896 | 3.9633 | 2.6792 | 1.1315 | 1.0008 | 1 |
\(\hat{\beta }_{3}\) | − 5.2673 | − 2.7707 | − 2.7753 | 1.3940 | 1.8685 | 0.9992 | 1 |
\(\hat{\beta }_{4}\) | 3.8171 | 2.6352 | 2.6423 | 0.6744 | 1.1315 | 1.0008 | 1 |
\(\hat{\beta }_{5}\) | − 0.1891 | − 0.0181 | − 0.0199 | 0.2426 | 0.0685 | 0.1992 | 0.2 |
\(\left\| \Delta \varvec{\hat{\beta} } \right\|\) | 8.3246 | 5.0957 | 5.0864 | 2.9692 | 0.9074 | 0.0019 | / |