Table 2 Sub-models of the KAPLL distribution.

From: A flexible extension of the log-logistic model with diverse failure rate shapes and applications

\(\lambda\)

\(\beta\)

\(\alpha\)

a

b

Sub-model

Authors

\(\lambda\)

\(\beta\)

\(\alpha\)

a

1

EAPLL distribution

Kariuki et al.36

\(\lambda\)

\(\beta\)

1

a

b

KLL distribution

De Santana et al.37

\(\lambda\)

\(\beta\)

1

a

1

ELL distribution

Rosaiah et al.38

\(\lambda\)

\(\beta\)

\(\alpha\)

1

1

APLL distribution

Aldahlan17

\(\lambda\)

\(\beta\)

1

1

1

LL distribution

Fisk10