Tbilisi Mathematical Journal
- Tbilisi Math. J.
- Volume 11, Issue 3 (2018), 47-67.
The transmuted Gompertz-G family of distributions: properties and applications
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 Math. J., Volume 11, Issue 3 (2018), 47-67.
Received: 4 February 2018
Accepted: 15 March 2018
First available in Project Euclid: 3 October 2018
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Reyad, Hesham; Jamal, Farrukh; Othman, Soha; Hamedani, G. G. The transmuted Gompertz-G family of distributions: properties and applications. Tbilisi Math. J. 11 (2018), no. 3, 47--67. doi:10.32513/tbilisi/1538532026. https://projecteuclid.org/euclid.tbilisi/1538532026