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

Mohtashami Borzadaran, Hossein-Ali; Jabbari, Hadi; Amini, Mohammad; Dolati, Ali

doi:10.52547/jirss.20.1.219

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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