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.

Type of Study: Special Issue, Original Paper |
Subject:
62Exx: Distribution theory

Received: 2020/11/28 | Accepted: 2021/02/7 | Published: 2021/06/20

Received: 2020/11/28 | Accepted: 2021/02/7 | Published: 2021/06/20

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