Table 1 Some special models

-

-

0

G(x)

Exponentiated Generalized Class of Distributions (Cordeiro et al. 2013)

1

-

-

G(x)

Marshal-Olkin family of distributions (Marshall and Olkin 1997)

1

-

0

G(x)

Proportional hazard rate model (Gupta and Gupta 2007)

-

1

0

G(x)

Proportional reversed hazard rate model (Gupta and Gupta 2007)

1

1

0

G(x)

G(x)

1

-

-

1−e^−x

Exponential - Geometric distribution (Adamidis and Loukas 1998)

-

-

-

1−e^−x

Generalized Exponential - Geometric distribution (Silva et al. 2010)

1

-

-

\(1-\mathrm {e}^{-\beta x^{\gamma }}\)

Weibull-Geometric distribution (Barreto-Souza et al. 2011)

-

-

-

\(1-\mathrm {e}^{-\beta x^{\gamma }}\)

Exponentiated Weibull-Geometric distribution (Mahmoudi and Shiran 2012)