Table 6.

${\mathrm{ARL}}_1$ of three proposed schemes for ratio V with shift of correlation coefficient, with n = 1, 5 and ${\mathrm{ARL}}_0=370$.

	n = 1						n = 5
	$\gamma =(0.02,0.02,0.02)$			$(0.1,0.1,0.1)$			$\gamma =(0.02,0.02,0.02)$			$(0.1,0.1,0.1)$
τ	Shewhart	EWMA	MOSE	Shewhart	EWMA	MOSE	Shewhart	EWMA	MOSE	Shewhart	EWMA	MOSE
$\rho =(-0.4,-0.4,-0.4)$ to $(-0.4,-0.2,-0.4)$
0.90	1.4	2.1	2.0	161.1	22.4	18.6	1.0	1.0	1.0	16.3	5.1	4.8
0.93	3.5	3.0	2.8	276.5	51.2	40.2	1.0	1.3	1.2	49.0	9.2	8.3
0.95	10.8	4.5	4.2	388.6	104.9	81.4	1.2	1.9	1.9	110.1	17.5	15.3
0.97	52.8	10.1	9.0	527.3	246.1	193.1	4.1	3.1	3.0	264.7	55.8	44.7
0.98	136.2	23.4	19.7	569.0	370.0	312.3	15.9	5.3	5.0	400.2	128.7	102.1
0.99	353.5	105.1	83.2	593.4	522.3	471.5	104.7	18.3	16.1	549.6	329.2	275.5
1.00	616.6	601.1	564.1	595.8	590.1	564.3	624.6	602.8	574.0	609.0	590.2	554.1
1.01	340.8	106.5	87.4	575.2	536.1	489.7	103.2	18.6	16.3	525.9	334.6	297.4
1.02	127.1	24.0	20.8	532.5	385.0	329.6	16.0	5.5	5.1	375.1	129.3	108.0
1.03	49.6	10.4	9.7	457.3	250.7	213.8	4.3	3.2	3.1	244.6	58.2	48.6
1.05	11.5	4.7	4.5	332.5	110.6	93.5	1.3	2.0	1.9	101.2	19.3	16.9
1.07	3.9	3.1	3.0	223.8	54.9	47.1	1.0	1.4	1.3	44.3	10.0	9.2
1.10	1.6	2.2	2.1	126.5	25.6	22.5	1.0	1.0	1.0	16.4	5.7	5.3
$\rho =(-0.4,-0.4,-0.4)$ to $(-0.4,-0.6,-0.4)$
0.90	1.4	2.1	2.0	92.9	20.5	17.5	1.0	1.0	1.0	12.5	5.1	4.8
0.93	3.3	3.0	2.8	147.3	42.4	34.9	1.0	1.3	1.2	32.1	9.0	8.2
0.95	8.9	4.5	4.2	191.6	75.7	63.1	1.2	1.9	1.8	66.0	16.7	14.6
0.97	34.2	9.9	9.0	230.3	146.5	128.8	3.8	3.2	3.0	134.6	44.3	37.9
0.98	73.8	20.4	18.0	249.6	192.7	181.2	12.3	5.3	5.0	186.6	85.7	73.9
0.99	161.6	72.3	61.4	250.6	239.1	240.2	60.3	17.1	14.9	230.4	177.7	166.4
1.00	240.6	252.0	254.4	246.3	246.6	253.8	240.9	255.7	258.9	244.5	251.2	258.6
1.01	152.8	70.6	62.9	232.1	226.5	226.4	60.7	16.9	15.3	209.7	167.2	159.5
1.02	69.9	20.8	18.8	216.2	177.2	170.9	12.0	5.4	5.1	163.4	81.0	73.0
1.03	32.8	10.1	9.2	192.8	133.8	118.8	4.0	3.2	3.1	115.1	43.0	38.4
1.05	9.1	4.7	4.4	142.4	70.3	63.3	1.3	2.0	1.9	54.9	17.1	15.3
1.07	3.7	3.1	3.0	106.7	40.7	36.2	1.0	1.4	1.3	28.9	9.4	9.0
1.10	1.6	2.2	2.1	65.1	21.9	19.6	1.0	1.0	1.0	12.3	5.6	5.3
$\rho =(0.4,0.4,0.4)$ to $(0.4,0.6,0.4)$
0.90	1.0	1.3	1.2	91.6	9.8	8.7	1.0	1.0	1.0	4.0	3.0	2.8
0.93	1.2	2.0	1.9	231.8	21.6	17.8	1.0	1.0	1.0	16.1	4.8	4.4
0.95	2.8	2.7	2.6	432.6	51.0	40.1	1.0	1.1	1.1	53.4	8.1	7.4
0.97	18.5	5.1	4.8	787.8	179.3	132.1	1.3	2.1	2.0	224.7	24.1	20.3
0.98	75.8	10.0	9.1	998.2	386.2	289.8	4.2	3.1	2.9	482.4	68.9	53.1
0.99	400.8	52.2	41.0	1233.0	847.1	673.1	51.6	8.4	7.5	1018.0	321.8	245.3
1.00	1462.4	1352.7	1185.3	1301.6	1335.2	1166.7	1505.6	1373.5	1195.4	1444.1	1368.4	1195.7
1.01	389.5	53.3	42.0	1230.7	974.6	815.1	52.8	8.4	7.7	1010.0	345.0	261.8
1.02	72.5	10.4	9.5	1033.1	458.3	361.4	4.4	3.1	3.0	473.3	72.1	57.3
1.03	18.8	5.3	5.0	794.1	213.4	161.3	1.4	2.1	2.0	219.1	25.5	21.7
1.05	3.1	2.8	2.6	409.1	59.4	48.3	1.0	1.2	1.1	52.5	8.7	8.0
1.07	1.3	2.0	2.0	212.9	25.0	21.6	1.0	1.0	1.0	17.0	5.0	4.8
1.10	1.0	1.4	1.3	83.0	11.6	10.3	1.0	1.0	1.0	4.8	3.2	3.1
$\rho =(0.4,0.4,0.4)$ to $(0.4,0.2,0.4)$
0.90	1.0	1.4	1.3	32.6	9.3	8.6	1.0	1.0	1.0	3.4	3.1	2.9
0.93	1.3	2.0	1.9	62.2	17.7	15.8	1.0	1.0	1.0	9.4	4.8	4.5
0.95	2.6	2.7	2.6	95.7	32.3	28.6	1.0	1.2	1.1	20.9	7.9	7.2
0.97	10.2	5.1	4.8	135.1	71.2	64.8	1.4	2.1	2.0	55.1	18.6	16.7
0.98	25.7	9.3	8.7	149.2	108.4	103.2	3.5	3.1	3.0	91.3	38.0	33.8
0.99	76.2	30.9	27.2	160.4	151.5	155.1	20.5	7.9	7.3	131.9	92.9	88.6
1.00	150.9	166.2	174.9	156.5	170.2	177.8	152.4	165.5	174.0	153.6	164.6	174.6
1.01	73.5	31.2	27.8	147.6	137.9	143.6	20.1	8.0	7.4	126.2	89.0	82.5
1.02	25.2	9.6	8.8	131.6	97.5	93.8	3.6	3.2	3.0	81.1	36.9	32.9
1.03	9.8	5.3	4.9	111.4	64.6	59.9	1.5	2.1	2.0	49.9	18.8	16.8
1.05	2.8	2.8	2.7	75.2	31.7	28.2	1.0	1.2	1.2	20.2	8.1	7.5
1.07	1.4	2.0	1.9	48.9	18.3	16.5	1.0	1.0	1.0	9.2	5.0	4.8
1.10	1.0	1.4	1.4	26.6	10.1	9.4	1.0	1.0	1.0	3.9	3.2	3.1