Faculty Member, Department of Statistics, Payam Noor University, Tehran, Iran
Abstract
In this paper, a five-parameter distribution called the geometric beta-Gompertz distribution, which has increasing, decreasing-increasing-decreasing, unimodal and pit-shaped hazard functions, is introduced and its probability density function, cumulative distribution function and hazard function are presented. Also, this new distribution is obtained with the help of Stirling polynomials, moments, moments of order statistics and Bonferroni and Lorentz curves. Its parameters are estimated by the maximum likelihood method and finally, its application is shown using a real data set.
Shadrokh, A. & Yaghoubzadeh Shahrestani, S. (2018). Geometric Beta-Gompertz Distribution: Mathematical Properties and Applications. Andishe_ye Amari, 22(2), 81-91.
MLA
Shadrokh, A., & Yaghoubzadeh Shahrestani, S. "Geometric Beta-Gompertz Distribution: Mathematical Properties and Applications", Andishe_ye Amari, 22, 2, 2018, 81-91.
HARVARD
Shadrokh A., Yaghoubzadeh Shahrestani S. (2018). 'Geometric Beta-Gompertz Distribution: Mathematical Properties and Applications', Andishe_ye Amari, 22(2), pp. 81-91.
CHICAGO
A. Shadrokh & S. Yaghoubzadeh Shahrestani, "Geometric Beta-Gompertz Distribution: Mathematical Properties and Applications," Andishe_ye Amari, 22 2 (2018): 81-91,
VANCOUVER
Shadrokh A., Yaghoubzadeh Shahrestani S. Geometric Beta-Gompertz Distribution: Mathematical Properties and Applications. Andishe_ye Amari. 2018;22(2):81-91 (In Persian).
