Table 6 Comparative analysis based on run length profile for p = 5.

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

2.70

0.51

2

2

2

3

3

3

3

AEWMA-I

2.04

0.21

2

2

2

2

2

2

2

0.50

EWMA

5.11

1.64

3

3

4

5

6

7

8

AEWMA-I

3.81

1.56

2

2

2

4

5

6

6

0.75

EWMA

19.91

14.14

5

7

10

16

26

38

48

AEWMA-I

13.50

8.92

2

4

7

11

18

26

31

0.80

EWMA

32.99

26.53

7

9

14

25

44

68

87

AEWMA-I

20.05

13.80

3

5

9

17

28

39

46

0.85

EWMA

62.20

56.07

9

12

22

45

84

135

174

AEWMA-I

32.09

22.47

4

7

14

28

45

63

74

0.92

EWMA

182.72

176.31

15

24

57

129

252

413

536

AEWMA-I

76.24

57.90

6

13

34

65

105

152

186

0.95

EWMA

293.04

289.29

19

35

87

204

407

671

870

AEWMA-I

134.43

114.47

8

19

52

106

184

285

360

0.97

EWMA

362.89

359.34

23

42

106

250

504

830

1082

AEWMA-I

219.94

206.33

10

27

75

162

302

487

625

1.00

EWMA

369.30

363.54

24

44

110

258

511

838

1090

AEWMA-I

370.21

363.32

14

40

112

261

514

843

1084

1.03

EWMA

258.03

250.42

20

33

79

180

356

588

756

AEWMA-I

222.06

187.51

15

38

90

174

303

466

589

1.05

EWMA

186.20

179.75

17

27

59

131

254

418

545

AEWMA-I

147.86

112.34

14

30

67

123

201

296

364

1.08

EWMA

115.32

108.31

13

19

39

82

157

254

331

AEWMA-I

90.42

62.92

12

21

45

78

122

173

209

1.10

EWMA

85.47

77.86

11

16

30

62

115

188

243

AEWMA-I

69.65

46.95

10

17

35

61

94

132

159

15

EWMA

46.73

39.49

8

11

19

35

62

97

126

AEWMA-I

42.16

27.39

8

11

21

37

57

79

94

1.30

EWMA

16.04

10.69

5

6

9

13

21

30

37

AEWMA-I

16.06

10.03

4

6

9

14

21

30

36

1.75

EWMA

5.25

2.34

2

3

4

5

6

8

10

AEWMA-I

5.03

2.43

2

2

3

5

6

8

10

3.50

EWMA

2.21

0.47

2

2

2

2

2

3

3

AEWMA-I

2.10

0.36

2

2

2

2

2

2

3

  1. Significant values are in bold.