Table 3. Results of the H-method.

Results of the H-method with $\underset{k}{max}$ and $\underset{k}{min}$ according to (the proof of) lemma 3.1. Moreover, the disparate impact and equal opportunity score $DI$ and $EO$ as well as $\widetilde{DI}$ and $\widetilde{EO}$ according to definition 2.7, 2.15, corollary 3.2.2 and 3.2.1, respectively.

$\mathrm{d}$	$\mathit{A}\mathit{C}\mathit{C}$	$\underset{k}{max}$	$\underset{k}{min}$	$\mathit{D}\mathit{I}$	$\mathit{E}\mathit{O}$	$\widetilde{\mathit{D}\mathit{I}}$	$\widetilde{\mathit{E}\mathit{O}}$
5	0.6223	0.8468	0.4880	0.5763	0.3558	0.5763	0.3588
10	0.7998	0.9983	0.6372	0.6383	0.3611	0.6383	0.3611
15	0.8837	1.0000	0.6402	0.6402	0.3598	0.6402	0.3598
(a) Hanoi WDS and linear virtual sensors.
1.9	0.7034	0.8935	0.4828	0.5404	0.4107	0.5404	0.4107
2.3	0.8346	1.0000	0.6652	0.6652	0.3348	0.6652	0.3348
2.7	0.8476	1.0000	0.4254	0.4254	0.5746	0.4254	0.5746
(b) L-Town WDS and GCN virtual sensors.