Table 4 The run length profiles for proposed Adaptive Bayesian Max-EWMA control chart under LLF, with \(\lambda\) = 0.15.

From: An adaptive Bayesian approach for improved sensitivity in joint monitoring of mean and variance using Max-EWMA control chart

Α

0.00

0.10

0.25

0.50

0.75

1.00

1.50

2.00

2.50

3.00

β

N

ARL

SDRL

ARL

SDRL

ARL

SDRL

ARL

SDRL

ARL

SDRL

ARL

SDRL

ARL

SDRL

ARL

SDRL

ARL

SDRL

ARL

SDRL

1.00

3

370.59

360.78

118.26

88.40

35.88

23.96

11.29

7.15

5.75

3.10

3.74

1.69

2.23

0.82

1.60

0.57

1.24

0.43

1.06

0.23

5

370.01

358.53

87.63

61.56

24.09

15.66

7.51

4.17

4.04

1.87

2.71

1.17

1.54

0.65

1.11

0.32

1.01

0.09

1.00

0.02

7

370.42

359.58

70.60

47.96

18.29

11.62

5.83

2.98

3.22

1.46

2.12

0.99

1.20

0.43

1.01

0.11

1.00

0.01

1.00

0.00

1.10

3

91.32

74.70

66.54

50.95

29.70

21.78

10.70

7.23

5.69

3.28

3.74

1.82

2.23

0.89

1.61

0.60

1.26

0.45

1.07

0.26

5

60.36

45.13

45.31

32.83

19.90

13.80

7.27

4.35

4.00

2.01

2.71

1.26

1.56

0.68

1.14

0.35

1.02

0.12

1.00

0.03

7

46.21

33.10

35.31

24.88

15.53

10.42

5.70

3.14

3.20

1.59

2.12

1.04

1.23

0.47

1.02

0.15

1.00

0.03

1.00

0.00

1.25

3

27.00

21.59

25.12

20.02

17.89

14.00

9.16

6.58

5.38

3.33

3.68

1.97

2.25

0.99

1.63

0.65

1.29

0.47

1.10

0.30

5

15.88

11.74

15.05

11.09

11.56

8.21

6.26

3.96

3.86

2.12

2.68

1.37

1.60

0.74

1.17

0.39

1.03

0.17

1.00

0.05

7

11.67

8.17

11.08

7.72

8.70

5.76

4.94

2.92

3.07

1.67

2.12

1.11

1.27

0.52

1.04

0.20

1.00

0.04

1.00

0.01

1.50

3

9.23

7.36

9.05

7.17

8.14

6.37

6.17

4.50

4.51

2.96

3.41

1.99

2.23

1.11

1.65

0.72

1.33

0.52

1.14

0.36

5

5.60

3.79

5.54

3.74

5.16

3.42

4.13

2.59

3.18

1.87

2.45

1.37

1.60

0.79

1.21

0.45

1.06

0.23

1.01

0.10

7

4.22

2.63

4.18

2.62

3.94

2.43

3.27

1.95

2.53

1.46

1.94

1.09

1.29

0.56

1.06

0.25

1.01

0.09

1.00

0.02

2.00

3

3.55

2.46

3.56

2.46

3.43

2.36

3.22

2.16

2.91

1.88

2.58

1.58

2.01

1.09

1.62

0.79

1.37

0.59

1.20

0.44

5

2.32

1.42

2.30

1.41

2.28

1.40

2.16

1.29

1.99

1.17

1.78

1.01

1.45

0.72

1.22

0.48

1.09

0.30

1.03

0.17

7

1.81

1.05

1.78

1.03

1.77

1.03

1.69

0.96

1.57

0.86

1.44

0.73

1.21

0.49

1.08

0.28

1.02

0.14

1.00

0.06

2.50

3

2.27

1.42

2.28

1.44

2.25

1.42

2.18

1.34

2.09

1.27

1.97

1.16

1.73

0.94

1.51

0.75

1.35

0.59

1.22

0.46

5

1.55

0.84

1.54

0.84

1.54

0.83

1.51

0.80

1.45

0.75

1.40

0.70

1.27

0.56

1.16

0.42

1.08

0.29

1.04

0.20

7

1.27

0.57

1.26

0.56

1.26

0.55

1.24

0.53

1.21

0.49

1.18

0.45

1.11

0.35

1.05

0.24

1.02

0.15

1.01

0.09

3.00

3

1.75

1.01

1.75

1.00

1.74

0.99

1.73

0.97

1.68

0.94

1.63

0.89

1.52

0.79

1.40

0.67

1.29

0.55

1.20

0.45

5

1.27

0.56

1.26

0.56

1.26

0.55

1.24

0.53

1.23

0.51

1.21

0.48

1.16

0.42

1.11

0.34

1.07

0.26

1.04

0.20

7

1.10

0.33

1.10

0.33

1.10

0.33

1.09

0.32

1.08

0.30

1.07

0.28

1.05

0.23

1.03

0.18

1.02

0.12

1.01

0.08

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