Stress-Strength and Ageing Intensity Analysis via a New Bivariate Negative Gompertz-Makeham Model

Authors
Hossein-Ali Mohtashami Borzadaran
Hadi Jabbari
Mohammad Amini
Ali Dolati
Department of Statistics, Ordered Data, Reliability and Dependency Center of Excellence, Ferdowsi University of Mashhad, Mashhad, Iran
10.52547/jirss.20.1.219
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.
Keywords
Bivariate Exponential Distribution
demography
survival function
hazard function
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Journal of the Iranian Statistical Society
Volume 20, Issue 1
June 2021
Pages 219-246

  • Receive Date 23 July 2022