In this paper we introduce a bivariate modified odd generalized exponential linear failure rate (BMOGELFR)
distribution. The cumulative distribution function of this bivariate model has absolutely continuous and singular
parts. Representations for the cumulative and density functions are presented and properties such as marginal,
conditional distributions and some reliability measures, the joint reliability function, joint hazard rate, and joint
reversed (hazard) function. The estimation of the parameters by maximum likelihood is discussed and the Fisher
information matrix is determined. An applications to real data is carried out to illustrate that the new distribution
is more flexible and e¤ective than other popular distributions in modeling lifetime data. Finally, some simulations
are presented to verify the performance of the direct maximum-likelihood estimation.