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Table 3 Median, mean, standard deviation, skewness and Kurtosis of the BIIIMO-Lindley Distribution

From: On Burr III Marshal Olkin family: development, properties, characterizations and applications

Parameters α, β, λ, b

Median

Mean

Standard Deviation

Skewness

Kurtosis

1,1,1,1

1.5675

5.3348

15.3851

8.2183

90.6069

2,1,1,1

3.3663

9.5872

22.6103

6.4326

55.7313

3,1,1,1

5.0424

13.5865

29.5541

5.8056

45.5406

4,1,1,1

6.6589

17.6427

37.3102

5.5979

42.3776

5,1,1,1

8.1887

19.9071

36.5353

4.6082

29.1756

1,10,1,1

1.5826

1.6022

0.2585

0.8210

6.4705

0.65,10,5,1

3.1084

3.1032

0.3673

0.0413

4.5913

0.65,10,5,0.15

23.9115

23.8698

2.5003

0.0084

4.4424

0.5,10,3,0.10

29.9001

29.7078

3.9877

−0.1783

4.1985

0.15,20,0.5,0.95

0.8711

0.8362

0.2341

−0.5213

2.9375

0.15,20,0.5,0.5

1.9486

1.8711

0.4854

−0.5968

3.0644

0.5,20,0.5,0.5

2.3013

2.2875

0.2677

−0.2134

4.1862

0.1,9,0.5,0.5

1.1787

1.2283

0.7764

0.4073

2.6804

0.1,9,0.35,0.5

0.8983

0.9548

0.6292

0.5181

2.9726

0.1,10,1.1,0.4

2.8248

2.7678

1.4233

0.0055

2.2482

0.1,10,1.3,0.4

3.1227

3.0411

1.5263

−0.0426

2.2369

0.1,10,2,0.4

3.9758

3.8169

1.7934

−0.1728

2.2366

0.1,10,2,1.8

0.6578

0.6423

0.3405

−0.0045

2.1782

0.1,10,2,1.9

0.6160

0.6020

0.3203

0.0051

2.1889