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Table 2 Estimated coverage probabilities and median widths for the GCIs and bootstrap confidence intervals for the means generated from different PH distributions used in our simulation study

From: Generalized fiducial inference on the mean of zero-inflated Poisson and Poisson hurdle models

n

λ

Ï€

Bootstrap

Fiducial

   

Cov. Prob.

Med. Width

Cov. Prob.

Med. Width

15

1

0.2

0.914

0.867

0.962

1.023

  

0.5

0.918

0.867

0.965

1.035

  

0.8

0.870

0.600

0.979

0.925

 

5

0.2

0.922

2.733

0.956

2.828

  

0.5

0.920

2.867

0.954

2.933

  

0.8

0.853

2.067

0.968

2.443

30

1

0.2

0.931

0.667

0.953

0.708

  

0.5

0.930

0.667

0.954

0.715

  

0.8

0.891

0.467

0.974

0.573

 

5

0.2

0.941

1.967

0.956

2.003

  

0.5

0.937

2.067

0.950

2.080

  

0.8

0.911

1.533

0.954

1.647

100

1

0.2

0.943

0.370

0.946

0.378

  

0.5

0.944

0.380

0.951

0.384

  

0.8

0.938

0.280

0.956

0.292

 

5

0.2

0.949

1.100

0.950

1.099

  

0.5

0.942

1.150

0.946

1.149

  

0.8

0.936

0.870

0.946

0.881