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) |