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Table 4 The number of units r purchased by observed number ( f r ) of consumers

From: The Kumaraswamy-geometric distribution

   Expected
r-value Observed EEGD GNBD KGD
0 299 300.11 298.98 299.33
1 69 63.10 68.03 65.59
2 37 41.13 41.12 42.02
3 34 30.68 29.89 30.92
4 23 24.36 23.51 24.28
5 20 20.06 19.32 19.81
6 12 16.92 16.32 16.58
7 18 14.52 14.04 14.14
8 14 12.61 12.25 12.21
9 9 11.06 10.80 10.67
10-11 17 18.47 18.16 17.72
12-15 27 26.69 26.63 25.50
16-35 63 62.29 62.95 63.23
Total 642 642 642 642
Parameter   α ^ =0.2910(0.0212) θ ^ =0.9658(0.0148) α ^ =0.3373(0.0924)
Estimates   θ ^ =0.9267(0.0076) m ^ =0.2264(0.0339) β ^ =1.5114(1.3648)
    β ^ =0.9882(0.0126) q ^ =0.9592(0.0544)
χ 2   4.34 3.92 4.11
df   10 9 9
p-value   0.9307 0.9166 0.9040
AIC   2471.3 2472.8 2473.0
LL *   -1233.64 -1233.38 -1233.50
  1. *LL = log-likelihood value.
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