Stress-Strength and Ageing Intensity Analysis via aNewBivariate Negative Gompertz-Makeham Model

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.