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Table 8 Estimated values of parameters and computed values of information measures of various distributions corresponding to Data set 2

From: A generalization to the log-inverse Weibull distribution and its applications in cancer research

Model

Estimates

Log-

Likelihood

AIC

BIC

AICc

CAIC

ExLIWD

a = − 243.995

−181.9026

371.805

379.610

372.656

383.610

b = 256.509

     

c = 46.217

     

δ = 44.601

     

GIGWD

α = 86.370

− 182.2115

372.423

380.227

373.274

384.227

β = 0.1510

     

λ = 5.88 0

     

γ = 7.270

     

KMIWD

a = 130.900

− 184.5836

379.1672

389.382

380.343

394.382

δ = 0.2960

     

ρ = 0.0550

     

σ = 0.0075

     

β = 229.80

     

GIWD

σ = 5.0810

−184.641

375.281

381.134

375.7811

384.134

β = 004890

     

ϑ = 1.5890

     

EPLD

α = 1.7626

− 187.5605

381.121

386.974

381.621

389.974

β = 0.4448

     

θ = 0.2598

     

ELIWD

a = −53.5756

− 190.822

389.644

397.448

390.495

401.448

b = 57.6963

     

c = 25.3954

     

IGWD

λ = 13.6790

−195.024

396.048

401.901

396.548

404.901

β = 0.4216

     

α = 1.1830

     

LGIWD

μ = −1.4166

−198.266

402.532

408.385

403.032

411.385

σ = 76.5670

     

γ = 2.8988

     

LD

α = 10.01

− 202.0545

410.109

415.962

410.609

418.962

β = 1000

     

θ = 0.0148

     

GLD

α = 0.02035

− 3019.677

6045.354

6051.207

6045.854

6054.207

β = 0.0028

     

θ = 0.8194