Table 4 The mles, frequencies, and goodness-of-fit values for the cytogenetic dosimetry lesions dataset.

From: Discrete Poisson Haq distribution with mathematical properties and count data modeling

X

Obs. Fr.

Exp. Fr.

PH

PRL

PXL

PME

PEWE

Poisson

0

200

195.9764

40.267

194.5782

186.0004

74.266

174.8245

1

57

66.9847

44.300

68.5440

79.0868

79.276

94.4052

2

30

23.6390

41.910

24.0289

25.2206

58.397

25.4894

3

7

8.5153

36.708

8.3879

7.1491

37.515

4.5881

4+

6

4.8846

136.81

4.4611

2.5431

50.547

0.6928

Total

300

300

300

300

300

300

300

MLE

\(\:\:\widehat{\varvec{\alpha\:}}\)

2.2094

2.8186

2.0512

0.2700

1.1133

0.5400

GOF Measures

\(\:-\varvec{l}\)

299.21

575.24

299.31

302.41

434.29

314.23

AIC

600.42

1152.5

600.63

606.83

870.59

630.45

BIC

604.13

1156.2

604.33

610.53

874.29

634.16

\(\:{\varvec{\chi\:}}^{2}\)

3.2945

789.78

3.5809

9.2566

297.02

30.527

df

2.0

3.0

2.0

2.0

3.0

2.0

P-value

0.1925

0.000

0.1668

0.0097

0.0000

0.0000