Table 9 Optimal values of the parameters of NLRD for Southeast data \(\hat{\theta } = 1.529\), \(\hat{\lambda } = 2.0144\) and n = 43.

From: A time truncated attribute control chart to monitor urgent physiological investigations turnaround times

\(ARL_{0}\)

200

250

300

370

500

\(l\)

2.911

2.969

2.987

3.095

3.121

\(a\)

1.1307

1.279

0.9878

1.203

1.0733

\(s\)

ARL1

ARL1

ARL1

ARL1

ARL1

0.10

1.00

1.00

1.00

1.00

1.00

0.20

1.00

1.00

1.00

1.00

1.00

0.30

1.00

1.00

1.00

1.00

1.00

0.40

1.00

1.01

1.00

1.00

1.00

0.50

1.03

1.11

1.02

1.09

1.07

0.60

1.34

1.67

1.26

1.63

1.60

0.70

2.81

4.15

2.57

4.13

4.28

0.80

10.24

17.09

9.45

17.99

20.73

0.85

23.52

40.97

21.97

44.68

54.89

0.90

59.33

106.13

56.59

121.06

158.87

0.95

146.15

242.38

152.00

309.43

428.40

1.00

200.02

250.03

300.12

370.35

500.07

1.05

108.70

112.69

223.75

171.01

222.34

1.10

47.95

47.52

101.25

69.67

89.67

1.15

23.14

22.51

46.97

31.79

40.67

1.20

12.54

12.05

24.25

16.42

20.85

1.30

4.96

4.69

8.67

5.99

7.44

1.40

2.66

2.51

4.21

3.02

3.65

1.50

1.78

1.69

2.55

1.93

2.25

1.60

1.39

1.32

1.82

1.46

1.64

1.70

1.19

1.15

1.45

1.23

1.34

1.80

1.10

1.07

1.26

1.11

1.18

1.90

1.05

1.03

1.15

1.06

1.10

2.00

1.02

1.01

1.08

1.03

1.05

2.50

1.00

1.00

1.00

1.00

1.00

3.00

1.00

1.00

1.00

1.00

1.00

3.50

1.00

1.00

1.00

1.00

1.00

4.00

1.00

1.00

1.00

1.00

1.00