Table 8 Parameter estimates and the 2-norm results between the parameter estimates and true values in the case of \(\sigma_{m} = 0.05\) for the third example
Parameter | LS | WLS | bcWLS | Algorithm 2 | Algorithm 3 I | Algorithm 3 II | True value |
|---|---|---|---|---|---|---|---|
\(\hat{\beta }_{1}\) | 17.4372 | 10.6262 | 9.8311 | 1.6658 | 1.6000 | 1.5000 | 1.5 |
\(\hat{\beta }_{2}\) | 23.1451 | 21.8015 | 21.5658 | 19.2789 | 20.1000 | 20.0000 | 20 |
\(\hat{\beta }_{3}\) | − 1.1115 | 3.8043 | 4.3941 | 10.4287 | 10.1000 | 10.0000 | 10 |
\(\hat{\beta }_{4}\) | − 12.0305 | − 8.7000 | − 8.3279 | − 4.0328 | − 4.2751 | − 4.0358 | − 4 |
\(\left\| \Delta \varvec{\hat{\beta} } \right\|\) | 21.2566 | 12.1247 | 11.0461 | 0.8557 | 0.3251 | 0.0358 | / |