Table 7 Comparison of ARL values of NLRD with existing distributions at \(n = 20\) and \(ARL_{0} = 370\).

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

Distribution

NLRD

Log- logistic

Weibull

NTS-Weibull

\(l\)

3.029

3.0580

2.8495

3.031

\(a\)

0.9807

0.6909

0.6959

0.991

\(s\)

\(ARL_{1}\)

\(ARL_{1}\)

\(ARL_{1}\)

\(ARL_{1}\)

1

370.02

370.05

370.10

370.92

1.10

133.91

157.01

338.10

167.10

1.20

46.74

66.56

193.79

70.10

1.30

20.55

32.80

89.99

34.84

1.40

10.89

18.34

48.47

20.00

1.50

6.64

11.32

29.40

12.80

1.60

4.51

7.57

19.52

8.91

1.70

3.33

5.39

13.90

6.62

1.80

2.62

4.05

10.46

5.17

1.90

2.17

3.18

8.23

4.21

2.00

1.86

2.60

6.69

3.53