Table 4 Comparative analysis of control charts based on run length profile.

From: Adaptive multivariate dispersion control chart with application to bimetal thermostat data

δ		ARL	SDRL	P5th	P10th	P25th	P50th	P75th	P90th	P95th
0.25	EWMA	4.98	1.20	3	4	4	5	6	7	7
0.25	AEWMA-I	3.98	1.15	2	2	3	4	5	5	6
0.50	EWMA	12.37	6.41	5	6	8	11	15	21	25
0.50	AEWMA-I	9.33	4.69	4	4	6	8	12	16	18
0.75	EWMA	67.14	59.83	10	14	25	49	90	144	186
0.75	AEWMA-I	34.43	21.57	6	9	18	31	47	64	75
0.80	EWMA	108.66	101.03	12	18	37	78	149	240	310
0.80	AEWMA-I	48.14	30.73	8	12	25	44	66	90	105
0.85	EWMA	180.11	172.48	16	26	57	127	248	405	525
0.85	AEWMA-I	71.97	48.03	10	18	37	64	97	136	163
0.92	EWMA	351.54	347.76	23	42	104	245	483	802	1051
0.92	AEWMA-I	151.91	121.29	15	31	66	122	205	311	390
0.95	EWMA	407.42	399.80	26	48	122	285	562	933	1206
0.95	AEWMA-I	237.34	213.39	18	38	88	177	322	515	658
0.97	EWMA	420.31	414.69	27	49	124	292	581	962	1251
0.97	AEWMA-I	317.89	302.00	19	43	106	228	434	709	921
1.00	EWMA	369.81	361.77	24	45	112	260	510	845	1094
1.00	AEWMA-I	370.25	352.14	21	48	121	265	510	829	1073
1.03	EWMA	289.22	283.24	21	37	89	202	396	656	855
1.03	AEWMA-I	273.53	246.38	19	42	100	205	373	592	759
1.05	EWMA	236.42	231.21	18	31	72	165	325	538	701
1.05	AEWMA-I	207.36	177.60	17	36	82	160	281	438	558
1.08	EWMA	170.77	162.78	15	24	54	120	236	387	496
1.08	AEWMA-I	140.57	111.18	14	28	61	115	190	284	358
1.10	EWMA	139.25	133.78	13	21	44	98	191	313	407
1.10	AEWMA-I	112.37	85.06	12	24	51	94	153	223	276
1.15	EWMA	86.90	80.42	10	15	30	62	118	192	246
1.15	AEWMA-I	72.92	52.63	9	16	34	62	99	143	173
1.30	EWMA	32.59	27.00	6	8	14	25	43	67	86
1.30	AEWMA-I	30.44	21.22	5	8	14	26	42	60	71
1.75	EWMA	9.36	5.77	3	4	5	8	12	17	21
1.75	AEWMA-I	9.04	5.80	3	3	5	8	12	17	21
3.50	EWMA	3.09	1.29	2	2	2	3	4	5	6
3.50	AEWMA-I	2.81	1.25	2	2	2	2	3	5	5

Significant values are in bold.

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