Table 3 The mles, frequencies, and goodness-of-fit values for the Nipah virus 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

33

32.319

2.0391

31.886

29.616

13.823

26.453

1

12

13.401

8.2212

13.807

16.157

14.908

19.839

2

6

5.7576

9.5403

5.9290

6.6110

10.957

7.4398

3

3

2.5247

8.7520

2.5284

2.4045

7.0041

1.8599

4

1

1.1168

7.2374

1.0718

0.8199

4.1627

0.3487

5

1

0.8810

20.210

0.7777

0.3921

5.1457

0.0596

Total

56

56

56

56

56

56

56

MLE

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

1.6979

2.7573

1.5406

0.3749

1.1287

0.7499

GOF Measures

\(\:-l\)

66.892

108.84

66.928

67.767

83.838

71.582

AIC

135.78

219.67

135.86

137.53

169.68

145.16

BIC

137.81

221.70

137.88

139.56

171.70

147.19

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

0.2112

500.56

0.3219

1.5147

37.443

4.8903

df

1.0

4.0

1.0

1.0

3.0

1.0

p-value

0.6458

0.0000

0.5704

0.2184

0.0000

0.0270