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Table 4 Evaluating various standard parametric distribution functions for identifying the best fit

From: A comparative study between the system reliability evaluation methods: case study of mining dump trucks

Distribution function

Distribution parameters

Log-likelihood value

Log-normal

\(\mu =3.761\)

\(\sigma =0.77\)

− 452

Weibull

\(\alpha =63.894\)

\(\beta =1.283\) B

− 461.86

Log-logistic

\(\mu =3.722\)

\(\sigma =0.450\)

− 454.54

Gamma

a = 1.762

b = 33.267

− 459.04