In this article, we proposed another extension of the Gompertz distribution called the “Generalized odd Lindley-Gompertz distribution’’. The probability density function (pdf) and the cumulative density function (cdf) of the new distribution were defined using the idea of Odd-Lindley G family proposed by Gomes-Silva et, al (2017). Analytical expressions for some mathematical quantities comprising moments, moment generating function, characteristics function and order statistics were presented. Some properties of the new distribution have been derived and discussed and the method of maximum likelihood is used to estimate the parameter of the proposed distribution. The performance of the proposed model has been evaluated by using real life dataset. Finally, graphical illustration and analysis are presented with recommendation for application.
