Table 3.

Differences in ARL & average restart number, IC ARL 370, steady-state size 0.

ARL difference
	TS minus CUSUM FIR
$\delta \mathrm{\setminus }k$	0.10	0.25	0.50	0.75	1.00	1.25	1.50
0.20	−32.421	−59.323	−116.246	−162.096	−197.695	−225.215	−245.522
0.50	−8.768	−7.195	−16.109	−32.291	−52.558	−75.611	−98.905
1.00	−4.732	−2.264	−1.876	−3.275	−6.207	−10.854	−17.110
1.50	−3.399	−1.537	−0.757	−0.728	−1.164	−2.080	−3.557
2.00	−2.682	−1.223	−0.514	−0.301	−0.329	−0.537	−0.922
2.50	−2.216	−1.029	−0.403	−0.174	−0.126	−0.173	−0.291
3.00	−1.882	−0.893	−0.305	−0.109	−0.058	−0.062	−0.105
${\mathrm{Avg}}_{\delta }$	−8.014	−10.495	−19.459	−28.425	−36.877	−44.933	−52.345
Average restart number difference
	TS minus CUSUM FIR
k	0.10	0.25	0.50	0.75	1.00	1.25	1.50
–	0.000	0.000	0.000	0.000	0.000	0.000	0.000

Notes: Inequality (18) is satisfied for all $(\delta ,k)$. Always choose TS chart here.