The Odd Generalized Exponential Gompertz Distribution

Abstract

In this paper we propose a new lifetime model, called the odd generalized exponential gompertz distribution. We obtained some of its mathematical properties. Some structural properties of the new distribution are studied. The method of maximum likelihood is used for estimating the model parameters and the observed Fisher's information matrix is derived. We illustrate the usefulness of the proposed model by applications to real data.

Properties and Applications of a Transmuted Power Gompertz Distribution

“…Hence, equation (30) and (32) are the survival and the hazard functions of the transmuted power Gompertz distribution (TransPGomD) respectively and their plots are given in the figure below. The plots in Fig.…”

“…As a result of the introduction of these families of probability distribution and the desire to improve the flexibility of classical distributions especially the Gompertz distribution, a number of authors have introduced different extensions of the Gompertz distribution and some of the recent and known studies include the generalized Gompertz distribution [29] which was based on an idea of [30], the Beta Gompertz distribution [31], the odd generalized Exponential-Gompertz distribution [32], the Transmuted Gompertz distribution [33], the Lomax-Gompertz distribution [34] and Power Gompertz distribution [35].…”

A Power Gompertz Distribution: Model, Properties and Application to Bladder Cancer Data

“…Following the introduction of the above listed families of probability distribution and the desire to add skewness and flexibility to classical distributions particularly the Gompertz distribution, many authors have proposed different extensions of the distribution and some of the recent and known studies include the generalized Gompertz distribution by El-Gohary and Al-Otaibi [29] which was based on an idea of Gupt and Kundu [30], the Beta Gompertz distribution by Jafaril et al [31], the odd generalized Exponential-Gompertz distribution by El-Damcese et al [32], the Transmuted Gompertz distribution by Abdul-Moniem and Seham [33] and the Lomax-Gompertz distribution by Omale et al [34].…”

The Modified Beta Gompertz Distribution: Theory and Applications

“…Motivated by the emergence of complex data from many applied areas, other extended Gompertz distributions have been proposed in the literature. See for instance, El-Damcese et al [7] who considered the Odd Generalized Exponential generator introduced by Tahir et al [8]; Roozegar et al [9] who used the McDonald generator introduced by Alexander et al [10]; Refs. [11,12] who applied the transmuted generator introduced by Shaw and Buckley [13]; Chukwu and Ogunde [14] and Lima et al [15] who used the Kumaraswamy generator; and Benkhelifa [16] and Yaghoobzadeh [17] who considered the Marshall-Olkin generator introduced by Marshall and Olkin [18]; and Shadrokh and Yaghoobzadeh [19] who considered the Beta-G and Geometric generators.…”