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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.