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Table 3 The Akaike information criterion (AIC), Bayesian information criterion (BIC) and the estimates of the cumulative incidence function under competing risks based on different distributions with the non-parametric method.

From: A parametric method for cumulative incidence modeling with a new four-parameter log-logistic distribution

 

Time (years)

Distribution

0.75

1

1.5

2

3

5

10

AIC

BIC

Two-parameter log-logistic

       

1894.0

1912.0

   Live birth

0.1145

0.2317

0.4946

0.6857

0.8556

0.9307

0.9497

  

   Stillborn fetus or abortion

0.0189

0.0246

0.0333

0.0375

0.0457

0.0514

0.0477

  

Four-parameter log-logistic

       

1685.3

1721.1

   Live birth

0.0257

0.2373

0.5552

0.6949

0.8133

0.8876

0.9274

  

   Stillborn fetus or abortion

0.0200

0.0278

0.0370

0.0419

0.0467

0.0503

0.0525

  

Two -parameter Weibull

       

2195.0

2212.0

   Live birth

0.1942

0.2749

0.4292

0.5626

0.7532

0.9098

0.9472

  

   Stillborn fetus or abortion

0.0173

0.0225

0.0310

0.0372

0.0457

0.0507

0.0526

  

Two -parameter Gompertz

       

2299.9

2317.9

   Live birth

0.2862

0.3617

0.4890

0.5897

0.7317

0.8718

0.9425

  

   Stillborn fetus or abortion

0.0185

0.0231

0.0307

0.0365

0.0441

0.0507

0.0533

  

three-parameter Sparling

       

1817.2

1856.0

   Live birth

0.0856

0.2198

0.5416

0.7290

0.8539

0.9047

0.9242

  

   Stillborn fetus or abortion

0.0188

0.253

0.0345

0.0394

0.0439

0.0473

0.0499

  

Nonparametric

         

   Live birth

0.0062

0.2601

0.5542

0.6723

0.8194

0.8934

0.9287

  

   Stillborn fetus or abortion

0.0170

0.0279

0.0405

0.0437

0.0455

0.0490

0.0535

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