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Table 5 The number of absences among shift-workers in a steel industry

From: The Kumaraswamy-geometric distribution

  Observed Expected
x-value Frequency EEGD GNBD KGD
0 7 10.18 9.86 6.52
1 16 16.41 16.44 18.21
2 23 18.30 19.32 21.40
3 20 18.57 19.84 20.92
4 23 18.02 19.09 19.31
5 24 17.03 17.73 17.45
6 12 15.82 16.13 15.64
7 13 14.52 14.50 13.97
8 9 13.22 12.93 12.46
9 9 11.95 11.49 11.11
10 8 10.74 10.17 9.90
11 10 9.62 9.00 8.83
12 8 8.59 7.95 7.87
13 7 7.65 7.02 7.01
14 2 a 6.79 6.21 6.25
15 12 a 6.02 5.49 5.57
16 3 b 5.33 4.86 4.96
17 5 b 4.71 4.30 4.42
18 4 c 4.16 3.81 3.94
19 2 c 3.67 3.38 3.51
20 2 d 3.23 3.00 3.13
21 5 d 2.85 2.67 2.79
22 5 e 2.51 2.38 2.49
23 2 e 2.21 2.11 2.21
24 1 e 1.94 1.88 1.97
25-48 16 13.96 16.44 16.16
Total 248 248 248 248
Parameter   α ^ =1.5255(0.1471) θ ^ =0.0026(0.0001) α ^ =3.1859(1.6702)
Estimates   θ ^ =0.8767(0.0093) m ^ =1242.96(4.259) β ^ =0.1292(0.0882)
    β ^ =254.77(20.785) q ^ =0.4099(0.2374)
χ 2   12.18 9.62 7.78
df   17 16 16
p-value   0.7891 0.8857 0.9551
AIC   1517.8 1517.3 1515.2
Log-likelihood   -756.88 -755.66 -754.62
  1. Observed frequencies with the same letters are pooled together.
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