Method

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

$N=2$

$N=20$

$N=40$

$N=80$

Sample median

31.21%

12.43%

8.95%

6.39%

MLE (2 variables)

32.26%

10.47%

7.43%

5.25%

MLE (1 variable)

28.30%

8.94%

6.34%

4.47%

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

29.00%

12.45%

9.00%

6.42%

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

17.94%

10.83%

8.31%

6.15%

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

9.71%

7.88%

6.72%

5.41%