Table 5 The \({ARL}_{1} \text{and} {SDRL}_{1}\) values of the proposed \(R{EEWMA}_{WSR}\) under different choices of \({(\lambda }_{1}{,\lambda }_{2}\)) and \(n=5\) for all distributions with \({ARL}_{0}\) \(\approx\) 370.

From: A modified EWMA signed rank control chart for enhanced quality monitoring in the automobile industry

Distribution	\((L\))	\({(\lambda }_{1}{,\lambda }_{2}\))	Metrices	C
Distribution	\((L\))	\({(\lambda }_{1}{,\lambda }_{2}\))	Metrices	0.00	0.05	0.10	0.15	0.20	0.25	0.30
Normal	2.4300	0.1, 0.03	ARL	370.51	133.81	45.81	23.10	14.52	10.13	7.57
Normal			SDRL	379.98	129.74	39.05	17.31	9.83	6.37	4.48
t(4)			ARL	376.55	99.71	32.13	16.49	10.33	7.39	5.62
t(4)			SDRL	376.77	92.84	25.75	11.46	6.55	4.44	3.15
Logistic			ARL	370.87	118.49	40.57	20.19	12.69	8.99	6.81
Logistic			SDRL	374.83	114.13	33.59	14.83	8.34	5.59	3.96
Laplace			ARL	372.83	86.20	28.34	14.76	9.52	6.92	5.38
Laplace			SDRL	377.88	80.44	22.29	10.15	6.06	4.11	3.06
CN			ARL	368.57	135.89	48.04	24.05	14.97	10.52	7.86
CN			SDRL	370.93	131.79	40.89	17.97	10.19	6.76	4.71
Normal	2.5900	0.2, 0.07	ARL	370.16	172.17	63.58	30.38	17.69	12.06	8.95
Normal			SDRL	375.71	169.70	57.51	24.90	12.94	8.00	5.41
t(4)			ARL	362.94	131.64	43.81	20.75	12.36	8.63	6.52
t(4)			SDRL	365.93	127.85	38.02	15.91	8.42	5.24	3.68
Logistic			ARL	372.85	157.41	54.61	25.92	15.37	10.64	7.89
Logistic			SDRL	371.93	155.10	49.42	20.43	10.91	6.82	4.70
Laplace			ARL	364.94	116.59	37.53	18.16	11.25	8.00	6.11
Laplace			SDRL	369.60	111.76	32.17	13.58	7.52	4.95	3.56
CN			ARL	368.01	179.69	66.98	31.70	18.84	12.67	9.25
CN			SDRL	370.17	177.90	61.04	26.05	14.05	8.33	5.68
Normal	2.6840	0.3, 0.15	ARL	367.09	206.21	82.74	39.91	22.84	15.18	11.00
Normal			SDRL	364.90	204.23	77.33	33.99	17.27	10.37	6.63
t(4)			ARL	367.68	162.21	56.23	26.37	15.39	10.70	7.93
t(4)			SDRL	370.52	154.93	50.40	20.70	10.48	6.50	4.34
Logistic			ARL	368.50	186.58	71.74	33.69	19.41	13.13	9.76
Logistic			SDRL	360.90	184.56	65.99	27.71	14.22	8.56	5.74
Laplace			ARL	368.82	141.05	47.25	22.87	13.90	9.75	7.47
Laplace			SDRL	368.96	136.43	41.89	17.67	9.40	5.93	4.15
CN			ARL	366.68	206.22	85.42	41.68	24.14	15.92	11.54
CN			SDRL	361.26	203.56	80.06	35.82	18.58	10.93	7.18
Normal	2.7640	0.5, 0.25	ARL	369.32	264.96	134.96	71.74	41.08	25.51	17.32
Normal			SDRL	364.55	263.18	131.69	67.30	37.29	21.50	13.48
t(4)			ARL	372.23	220.79	94.71	45.21	25.24	15.79	11.12
t(4)			SDRL	374.96	218.24	91.40	40.97	21.44	12.24	7.86
Logistic			ARL	369.06	245.29	118.24	58.53	33.43	20.83	14.31
Logistic			SDRL	367.37	241.52	114.15	54.28	29.51	17.12	10.76
Laplace			ARL	371.78	196.85	76.22	36.71	20.91	13.76	9.92
Laplace			SDRL	372.63	192.20	72.77	32.62	17.38	10.47	6.95
CN			ARL	370.75	270.95	141.08	73.83	42.17	26.97	17.94
CN			SDRL	369.97	267.36	138.22	69.24	38.43	22.85	14.14

Distribution	C
Distribution	0.40	0.50	0.70	0.90	1.00	1.50	2.00	2.50	3.00	5.00
Normal	4.99	3.67	2.46	1.93	1.76	1.33	1.11	1.03	1.01	1.00
Normal	2.66	1.77	1.02	0.71	0.63	0.47	0.32	0.17	0.09	0.00
t(4)	3.85	2.96	2.10	1.71	1.59	1.25	1.12	1.06	1.03	1.01
t(4)	1.98	1.40	0.88	0.67	0.63	0.45	0.33	0.24	0.18	0.07
Logistic	4.50	3.38	2.32	1.86	1.71	1.30	1.13	1.05	1.02	1.00
Logistic	2.37	1.63	0.98	0.72	0.64	0.47	0.34	0.23	0.15	0.03
Laplace	3.74	2.91	2.12	1.75	1.64	1.30	1.15	1.07	1.04	1.00
Laplace	1.94	1.44	0.94	0.71	0.66	0.48	0.36	0.26	0.18	0.05
CN	5.15	3.81	2.53	1.99	1.82	1.35	1.14	1.05	1.02	1.00
CN	2.80	1.90	1.08	0.77	0.67	0.49	0.35	0.22	0.15	0.04
Normal	5.69	4.17	2.71	2.05	1.85	1.33	1.11	1.03	1.01	1.00
Normal	3.02	2.05	1.19	0.83	0.73	0.48	0.31	0.17	0.08	0.00
t(4)	4.33	3.24	2.24	1.77	1.62	1.26	1.12	1.06	1.03	1.01
t(4)	2.25	1.59	1.03	0.76	0.68	0.46	0.33	0.24	0.18	0.08
Logistic	5.14	3.80	2.52	1.95	1.77	1.31	1.13	1.05	1.02	1.00
Logistic	2.74	1.87	1.13	0.82	0.73	0.48	0.34	0.22	0.14	0.02
Laplace	4.25	3.22	2.27	1.81	1.68	1.31	1.15	1.07	1.04	1.00
Laplace	2.27	1.64	1.08	0.81	0.73	0.49	0.36	0.26	0.19	0.04
CN	5.93	4.32	2.80	2.12	1.90	1.36	1.14	1.05	1.02	1.00
CN	3.21	2.16	1.27	0.89	0.78	0.51	0.35	0.23	0.14	0.04
Normal	7.03	5.11	3.40	2.66	2.44	2.04	2.00	2.00	2.00	2.00
Normal	3.64	2.30	1.26	0.81	0.66	0.21	0.04	0.00	0.00	0.00
t(4)	5.35	4.09	2.89	2.41	2.29	2.06	2.02	2.01	2.00	2.00
t(4)	2.55	1.77	1.01	0.66	0.55	0.24	0.13	0.08	0.05	0.02
Logistic	6.30	4.70	3.20	2.56	2.39	2.05	2.01	2.00	2.00	2.00
Logistic	3.15	2.12	1.18	0.77	0.62	0.23	0.09	0.03	0.01	0.00
Laplace	5.21	4.05	2.95	2.47	2.34	2.07	2.01	2.00	2.00	2.00
Laplace	2.55	1.78	1.09	0.72	0.60	0.26	0.12	0.05	0.02	0.01
CN	7.35	5.34	3.51	2.73	2.51	2.08	2.02	2.01	2.00	2.00
CN	3.85	2.45	1.35	0.88	0.72	0.28	0.13	0.07	0.04	0.00
Normal	9.71	6.50	3.93	2.92	2.64	2.09	2.01	2.00	2.00	2.00
Normal	6.43	3.66	1.73	1.03	0.83	0.29	0.08	0.02	0.00	0.00
t(4)	6.68	4.75	3.18	2.56	2.40	2.09	2.02	2.01	2.00	2.00
t(4)	3.92	2.43	1.28	0.79	0.67	0.30	0.15	0.10	0.07	0.02
Logistic	8.33	5.69	3.63	2.77	2.55	2.10	2.02	2.00	2.00	2.00
Logistic	5.29	3.07	1.56	0.96	0.78	0.31	0.13	0.05	0.02	0.00
Laplace	6.34	4.64	3.24	2.63	2.47	2.11	2.02	2.01	2.00	2.00
Laplace	3.74	2.42	1.34	0.87	0.73	0.33	0.16	0.08	0.04	0.00
CN	10.08	6.79	4.07	2.99	2.70	2.12	2.03	2.01	2.00	2.00
CN	6.83	3.89	1.82	1.09	0.89	0.35	0.16	0.11	0.06	0.00

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Table 5 The \({ARL}_{1} \text{and} {SDRL}_{1}\) values of the proposed \(R{EEWMA}_{WSR}\) under different choices of \({(\lambda }_{1}{,\lambda }_{2}\)) and \(n=5\) for all distributions with \({ARL}_{0}\) \(\approx\) 370.

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