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Table 1 Some OGE models

From: The odd generalized exponential family of distributions with applications

SN

α

λ

G ( x ;ξ)

Reduced distribution

1

1

-

G(x;ξ)

Odd exponential-G family (Bourguignon et al. 2014)

2

-

-

\(\frac {x}{1+x}\)

Generalized exponential distribution (Gupta and Kundu 1999)

3

1

-

\(\frac {x^{c}}{1+x^{c}}\)

Exponentiated Weibull distribution (Mudholkar and Srivastava 1993)

4

-

-

1−e ax

Generalized Gompertz distribution (El-Gohary et al. 2013)