Table 1 ARL values for the parametric values \(\theta = 0.5\), \(\lambda = 0.5\) 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

\(l\)

3.593

2.861

2.957

3.097

3.293

\(a\)

0.5986

1.0072

1.0411

0.7842

0.7422

\(s\)

\(ARL_{1}\)

\(ARL_{1}\)

\(ARL_{1}\)

\(ARL_{1}\)

\(ARL_{1}\)

0.10

1.01

1.27

1.25

1.02

1.03

s0.20

1.16

2.09

2.02

1.20

1.23

0.30

1.69

3.99

3.73

1.70

1.83

0.40

3.10

8.36

7.56

2.85

3.27

0.50

6.82

18.76

16.38

5.49

6.74

0.60

17.10

44.35

37.36

11.70

15.42

0.70

46.58

108.00

88.14

26.95

38.12

0.80

125.75

186.95

203.06

65.52

98.99

0.85

147.85

201.43

235.60

103.36

160.05

0.90

166.92

212.74

251.27

162.81

253.84

0.95

188.58

224.51

285.74

251.87

379.51

1.00

200.10

250.09

300.01

370.01

500.07

1.05

153.09

180.35

226.43

347.77

484.09

1.10

114.12

128.27

163.73

324.16

469.18

1.15

85.50

92.14

117.87

308.44

388.90

1.20

65.13

67.44

85.91

288.52

293.41

1.30

40.09

38.48

48.30

245.59

164.85

1.40

26.55

23.76

29.33

143.78

97.90

1.50

18.71

15.72

19.08

89.08

62.17

1.60

13.87

11.01

13.17

58.55

41.90

1.70

10.72

8.11

9.55

40.56

29.72

1.80

8.58

6.23

7.24

29.38

22.00

1.90

7.06

4.96

5.69

22.11

16.89

2.00

5.96

4.07

4.61

17.19

13.38

2.50

3.29

2.10

2.27

6.96

5.81

3.00

2.33

1.50

1.57

4.05

3.54

3.50

1.88

1.26

1.30

2.86

2.58

4.00

1.63

1.14

1.16

2.27

2.09