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Table 1 Some special models

From: The beta Marshall-Olkin family of distributions

a

b

c

G(x)

Reduced distributions

-

-

1

G(x)

Beta-G family (Eugene et al. 2002; Jones 2004)

1

-

-

G(x)

Generalized Marshal-Olkin family (Jayakumar and Mathew 2008)

1

-

-

G(x)

Exponentiated Marshall-Olkin family (New)

1

1

-

G(x)

Marshall-Olkin family (Marshall and Olkin 1997)

1

-

1

G(x)

Proportional hazard rate family (Gupta et al. 1998)

-

1

1

G(x)

Proportional reversed hazard rate family (Gupta and Gupta 2007)

1

1

1

G(x)

G(x)