The objective of this study was to present a novel
bivariate distribution, which we denoted as the bivariate odd
generalized exponential gompertz(BOGE-G) distribution. Other
well-known models included in this one include the gompertz,
generalized exponential, odd generalized exponential, and odd
generalized exponential gompertz distribution. The model introduced here is of Marshall-Olkin type [16]. The marginals of the
new bivariate distribution have odd generalized exponential gompertz distribution which proposed by[7]. Closed forms exist for
both the joint probability density function and the joint cumulative
distribution function. The bivariate moment generating function,
marginal moment generating function, conditional distribution,
joint reliability function, marginal hazard rate function, joint mean
waiting time, and joint reversed hazard rate function are some
of the properties of this distribution that have been discussed.
The maximum likelihood approach is used to estimate the model
parameters. To demonstrate empirically the significance and
adaptability of the new model in fitting and evaluating real
lifespan data, two sets of real data are studied using the new
bivariate distribution. Using the software Mathcad, a simulation
research was conducted to evaluate the bias and mean square error
(MSE)characteristics of MLE. We found that the bias and MSE
decrease as the sample size increases.