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Table 1 Monte Carlo simulation results: mean estimates and RMSEs

From: Exponentiated Kumaraswamy-Dagum distribution with applications to income and lifetime data

  

I

 

II

n

Parameter

Mean

RMSE

 

Mean

RMSE

200

α

4.41621

3.979304324

 

1.7899006

1.992043574

 

λ

1.3580866

2.642335804

 

1.4287071

1.528578784

 

δ

3.1167852

2.601663026

 

1.0337146

0.5898521

 

Ï•

5.7270324

6.535452517

 

2.4702434

3.712081559

 

θ

4.5560563

4.306946865

 

2.8884959

3.689669972

400

α

3.5972873

3.071770841

 

1.5456974

1.513782811

 

λ

1.1196079

0.900800533

 

1.1382897

0.732002869

 

δ

2.9333424

1.821450521

 

1.0064105

0.377302664

 

Ï•

4.6989703

5.277876069

 

1.5488732

1.872088246

 

θ

4.1188983

3.616692978

 

2.4213684

2.969367761

800

α

3.1040595

2.417025941

 

1.4359333

1.278449373

 

λ

1.0626388

0.609066006

 

1.0432761

0.346996974

 

δ

2.8960167

1.36814261

 

1.0017278

0.250650155

 

Ï•

3.7437056

3.919777583

 

1.176675

0.766203302

 

θ

3.4890255

2.748229594

 

1.9733522

2.197844717

1200

α

2.8399564

2.058703427

 

1.3884174

1.169251427

 

λ

1.0429655

0.501712467

 

1.021836

0.258884917

 

δ

2.9152476

1.133666485

 

1.0014919

0.193825437

 

Ï•

3.1751818

3.043071803

 

1.083574

0.392293513

 

θ

3.164176

2.346236284

 

1.731924

1.788360814