The transmuted Gompertz-G family of distributions: properties and applications
H. Reyad, F. Jamal, S. Othman, G.G. Hamedani
We introduce and study a new class of continuous distributions called the transmuted Gompertz-G family which extends the Gompertz class proposed by Alizadeh et al.
(2016a). Explicit expressions for the ordinary and incomplete moments, generating function, probability weighted moment,
Lorenz and Bonferroni curves, order statistics, Rényi and Shanon entropies, stress strength model moment of residual and reversed residual life and
characterizations for the new family are investigated. We discuss the maximum likelihood estimates for the model parameters. The performance of the new
family is assesed by means
of two applications.
Tbilisi Mathematical Journal, Vol. 11(3) (2018), pp. 47-67