RecordNumber
3949
Author
Mohtashami Borzadaran, Hossein-Ali
Crop_Body
Hossein-Ali Mohtashami Borzadaran , Hadi Jabbari, Mohammad Amini, and Ali Dolati
Title of Article
Stress-Strength and Ageing Intensity Analysis via aNewBivariate Negative Gompertz-Makeham Model
Title Of Journal
خبرنامه انجمن آمار ايران (JIRSS)
PublishInfo
تهران :انجمن آمار ايران
Publication Year
2021
Volum
20
Issue Number
1
Page
219-246
Keywords
Bivariate Exponential Distribution , Demography , Survival Function , Hazard Function
Abstract
In Demography and modelling mortality (or failure) data the univariate
Makeham-Gompertz is well-known for its extension of exponential distribution. Here,
a bivariate class of Gompertz–Makeham distribution is constructed based on random
number of extremal events. Some reliability properties such as ageing intensity,
stress-strength based on competing risks are given. Also dependence properties
such as dependence structure, association measures and tail dependence measures are
obtained. A simulation study and a performance analysis is given based on estimators
such as MLE, Tau-inversion and Rho-inversion