Stress-Strength and Ageing Intensity Analysis via a New Bivariate Negative Gompertz-Makeham Model
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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.
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Journal title
volume 20 issue 1
pages 219- 246
publication date 2021-06
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