Table 1 Results of the AEWMA chart for ARL0 = 370, \(\:\psi\:\) = 0.15, and L = 0.1689.

From: A novel EWMA-based adaptive control chart for industrial application by using hastings approximation

λ

Shape parameter (k)

0.25

0.50

1.00

1.50

2.00

ARL

SDRL

ARL

SDRL

ARL

SDRL

ARL

SDRL

ARL

SDRL

1.00

370.61

357.13

370.31

357.64

369.59

354.82

369.59

354.82

370.34

357.20

0.98

174.16

155.85

247.73

231.49

320.35

307.51

320.35

307.51

324.67

310.67

0.95

80.72

66.79

134.83

117.87

229.71

214.41

229.71

214.41

247.87

231.68

0.90

44.32

35.41

72.83

59.54

139.74

121.81

139.74

121.81

156.51

138.42

0.80

26.48

20.94

38.45

30.66

71.59

58.57

71.59

58.57

80.35

66.37

0.70

20.75

16.39

27.49

21.85

46.35

37.09

46.35

37.09

51.98

41.74

0.60

17.92

14.06

22.10

17.52

33.82

26.80

33.82

26.80

37.35

29.64

0.50

16.25

12.77

19.06

15.06

26.76

21.37

26.76

21.37

28.95

23.01

0.40

15.21

11.82

17.01

13.31

22.00

17.36

22.00

17.36

23.37

18.46

0.30

14.52

11.23

15.68

12.18

18.77

14.78

18.77

14.78

19.73

15.49

0.20

13.93

10.77

14.57

11.37

16.39

12.81

16.39

12.81

16.84

13.25

0.10

13.54

10.41

13.80

10.70

14.61

11.31

14.61

11.31

14.80

11.56

0.05

13.31

10.28

13.44

10.34

13.64

10.56

13.79

10.65

13.93

10.76

0.02

13.28

10.27

13.33

10.24

13.35

10.29

13.36

10.31

13.52

10.43

0.01

13.26

10.25

13.19

10.12

13.30

10.24

13.25

10.22

13.34

10.31