Table 2 ARL values for the parametric values \(\theta = 1.0\), \(\lambda = 1.0\) and n = 15 under truncated life test.

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

\(ARL_{0}\)

200

250

300

370

500

\(l\)

2.997

2.861

2.958

3.097

3.293

\(a\)

0.7525

1.0055

1.0306

0.8286

0.7929

\(s\)

\(ARL_{1}\)

\(ARL_{1}\)

\(ARL_{1}\)

\(ARL_{1}\)

\(ARL_{1}\)

0.10

1.00

1.01

1.01

1.00

1.00

0.20

1.00

1.12

1.11

1.01

1.01

0.30

1.05

1.54

1.49

1.09

1.12

0.40

1.28

2.69

2.52

1.45

1.57

0.50

2.02

5.84

5.26

2.49

2.91

0.60

4.09

15.21

13.10

5.40

6.87

0.70

9.99

45.33

37.35

14.00

19.45

0.80

27.74

145.07

115.82

41.10

61.81

0.85

47.51

216.71

200.56

72.54

112.71

0.90

81.34

237.41

219.86

128.98

203.84

0.95

134.53

244.13

262.50

226.06

347.42

1.00

200.13

250.32

300.17

370.26

500.04

1.05

172.42

161.02

202.96

320.51

468.77

1.10

149.94

102.67

130.36

306.36

443.69

1.15

133.97

67.43

84.96

282.55

319.97

1.20

127.22

45.99

57.25

223.83

223.68

1.30

75.61

23.84

28.93

164.67

114.51

1.40

44.93

13.98

16.56

90.30

64.88

1.50

28.99

9.04

10.49

54.29

40.28

1.60

20.03

6.32

7.21

35.30

26.95

1.70

14.64

4.71

5.29

24.46

19.15

1.80

11.20

3.70

4.09

17.87

14.30

1.90

8.90

3.02

3.30

13.62

11.11

2.00

7.29

2.55

2.76

10.76

8.93

2.50

3.67

1.54

1.60

4.78

4.21

3.00

2.50

1.23

1.26

3.01

2.75

3.50

1.97

1.11

1.13

2.27

2.12

4.00

1.68

1.06

1.07

1.88

1.78