1
Department Mathematics and Statistics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
2
Department Mathematics and Statistics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
Abstract
In this paper, the concept of unit generalized Gompertz (UGG) distribution will be introduced as a new transformed model of the Gompertz distribution.We calculate explicit expressions for the moments, moment generating, quantile, and hazard functions, and Tsallis and Rényi entropy. To estimate the unknown parameters of the model, the maximum likelihood, max imumproduct spacings, and bootstrap sampling have been discussed, and also approximate confidence interval is presented. Finally, a simulation study and an application to a real data set are given.
Karandish Marvasti, A., Armez, E. & Basirt, M. (2022). Unit generalized Gompertz distribution and its application. Andishe_ye Amari, 27(1), 81-92.
MLA
Karandish Marvasti, A., Armez, E., & Basirt, M. "Unit generalized Gompertz distribution and its application", Andishe_ye Amari, 27, 1, 2022, 81-92.
HARVARD
Karandish Marvasti A., Armez E., Basirt M. (2022). 'Unit generalized Gompertz distribution and its application', Andishe_ye Amari, 27(1), pp. 81-92.
CHICAGO
A. Karandish Marvasti, E. Armez & M. Basirt, "Unit generalized Gompertz distribution and its application," Andishe_ye Amari, 27 1 (2022): 81-92,
VANCOUVER
Karandish Marvasti A., Armez E., Basirt M. Unit generalized Gompertz distribution and its application. Andishe_ye Amari. 2022;27(1):81-92 (In Persian).
