Table 1 CP, AL, and tail error rates of all methods (\(\delta _1=\delta _2=0.1\), \(DL=0.1\)).

From: Confidence interval estimation for the difference of censored zero-inflated gamma distributions

\(DL=0.1\)

F

F-Li

F-Ren

F-Wilson

BC

BC-Li

BC-Ren

BC-Wilson

\(\delta _1:\delta _2=0.1:0.1\)

CP

AL

CP

AL

CP

AL

CP

AL

CP

AL

CP

AL

CP

AL

CP

AL

\(n_1:n_2\)

\(a_1:a_2\)

\(ER_L\)

\(ER_R\)

\(ER_L\)

\(ER_R\)

\(ER_L\)

\(ER_R\)

\(ER_L\)

\(ER_R\)

\(ER_L\)

\(ER_R\)

\(ER_L\)

\(ER_R\)

\(ER_L\)

\(ER_R\)

\(ER_L\)

\(ER_R\)

10:10

2:2

0.968

1.260

0.975

1.315

0.974

1.330

0.972

1.348

0.965

1.342

0.975

1.363

0.965

1.388

0.968

1.400

0.018

0.014

0.014

0.011

0.017

0.009

0.018

0.010

0.020

0.015

0.015

0.010

0.022

0.013

0.020

0.012

2:5

0.962

1.086

0.98

1.135

0.975

1.148

0.974

1.161

0.971

1.145

0.975

1.168

0.975

1.184

0.977

1.199

0.010

0.028

0.004

0.016

0.010

0.015

0.009

0.017

0.009

0.020

0.003

0.022

0.007

0.018

0.007

0.016

5:5

0.949

0.871

0.971

0.918

0.961

0.928

0.961

0.938

0.956

0.897

0.975

0.912

0.959

0.925

0.967

0.938

0.028

0.023

0.015

0.014

0.024

0.015

0.022

0.017

0.023

0.021

0.013

0.012

0.023

0.018

0.016

0.017

10:50

2:2

0.972

0.927

0.976

0.955

0.971

0.936

0.968

0.943

0.958

0.956

0.967

0.979

0.958

0.960

0.957

0.970

0.009

0.019

0.001

0.023

0.008

0.021

0.008

0.024

0.014

0.028

0.002

0.031

0.010

0.032

0.012

0.031

2:5

0.964

0.868

0.973

0.885

0.969

0.873

0.969

0.883

0.961

0.893

0.961

0.905

0.954

0.893

0.961

0.902

0.006

0.030

0.001

0.027

0.006

0.025

0.006

0.025

0.009

0.030

0.002

0.037

0.009

0.036

0.009

0.030

5:5

0.964

0.623

0.977

0.643

0.964

0.632

0.963

0.637

0.966

0.624

0.977

0.637

0.969

0.625

0.969

0.633

0.018

0.018

0.006

0.017

0.020

0.016

0.020

0.017

0.016

0.018

0.005

0.018

0.013

0.018

0.014

0.017

50:50

2:2

0.959

0.969

0.443

0.989

0.503

0.971

0.449

0.973

0.451

0.444

0.983

0.500

0.963

0.447

0.961

0.449

0.016

0.015

0.007

0.004

0.015

0.014

0.014

0.013

0.020

0.021

0.013

0.004

0.020

0.017

0.021

0.018

2:5

0.952

0.379

0.981

0.429

0.957

0.384

0.961

0.385

0.943

0.376

0.972

0.425

0.949

0.379

0.948

0.381

0.012

0.036

0.001

0.018

0.013

0.030

0.012

0.027

0.015

0.042

0.003

0.025

0.016

0.035

0.016

0.036

5:5

0.952

0.295

0.977

0.333

0.955

0.301

0.956

0.302

0.947

0.294

0.979

0.328

0.952

0.295

0.952

0.296

0.019

0.029

0.009

0.014

0.018

0.027

0.017

0.027

0.018

0.035

0.008

0.013

0.018

0.030

0.018

0.030

50:132

2:2

0.962

0.365

0.991

0.431

0.968

0.367

0.968

0.368

0.956

0.364

0.984

0.430

0.959

0.366

0.958

0.368

0.021

0.017

0.001

0.008

0.016

0.016

0.018

0.014

0.020

0.024

0.004

0.012

0.020

0.021

0.019

0.023

2:5

0.953

0.335

0.980

0.386

0.960

0.337

0.963

0.338

0.944

0.333

0.968

0.383

0.950

0.335

0.953

0.336

0.013

0.034

0.001

0.019

0.012

0.028

0.012

0.025

0.014

0.042

0.002

0.030

0.014

0.036

0.013

0.034

5:5

0.955

0.241

0.981

0.283

0.956

0.244

0.957

0.244

0.956

0.240

0.978

0.280

0.952

0.241

0.955

0.241

0.019

0.026

0.004

0.015

0.016

0.028

0.017

0.026

0.013

0.031

0.004

0.018

0.015

0.033

0.014

0.031

132:132

2:2

0.958

0.263

0.994

0.345

0.953

0.265

0.957

0.266

0.956

0.264

0.993

0.345

0.958

0.267

0.960

0.267

0.020

0.022

0.002

0.004

0.020

0.027

0.020

0.023

0.020

0.024

0.002

0.005

0.019

0.023

0.019

0.021

2:5

0.942

0.224

0.986

0.292

0.95

0.225

0.947

0.225

0.942

0.224

0.988

0.292

0.951

0.225

0.951

0.226

0.012

0.046

0.001

0.013

0.012

0.038

0.011

0.042

0.014

0.044

0.001

0.011

0.011

0.038

0.011

0.038

5:5

0.940

0.174

0.992

0.225

0.942

0.175

0.944

0.176

0.948

0.174

0.990

0.224

0.943

0.174

0.936

0.175

0.033

0.027

0.003

0.005

0.034

0.024

0.030

0.026

0.027

0.025

0.004

0.006

0.032

0.025

0.037

0.027