The Transmuted Gompertz-G Family of Distributions: Properties and Applications

Authors

Hesham Mohammed Reyad, Qassim University
Farrukh Jamal, Dera Nawab Sahib
Soha Othman, Cairo University
Gholamhossein G. Hamedani, Marquette UniversityFollow

Document Type

Article

Publication Date

2018

Publisher

Tbilisi Centre for Mathematical Sciences

Source Publication

Tbilisi Mathematical Journal

Source ISSN

1875-158X

Abstract

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 assessed by means of two applications.

Comments

Tbilisi Mathematical Journal, Vol. 11, No. 3 (2018): 47-67. Publisher link.

Recommended Citation

Reyad, Hesham Mohammed; Jamal, Farrukh; Othman, Soha; and Hamedani, Gholamhossein G., "The Transmuted Gompertz-G Family of Distributions: Properties and Applications" (2018). Mathematical and Statistical Science Faculty Research and Publications. 120.
https://epublications.marquette.edu/math_fac/120