Method

Relative error of inferred $z^{\left(m\right)}$

$N=2$

$N=20$

$N=40$

$N=80$

Sample median

16.03%

6.23%

4.48%

3.20%

MLE (2 variables)

16.28%

5.24%

3.72%

2.62%

MLE (1 variable)

15.17%

4.50%

3.18%

2.24%

Adaptive Bayesian, prior ${\sigma }_z/{\mu }_z=40\%$

22.05%

6.71%

4.67%

3.27%

Adaptive Bayesian, prior ${\sigma }_z/{\mu }_z=20\%$

14.69%

6.30%

4.53%

3.22%

Adaptive Bayesian, prior ${\sigma }_z/{\mu }_z=10\%$

8.98%

5.45%

4.17%

3.08%