  Univariate Weibull distribution is a well-known lifetime distribution and has
been widely used in reliability and survival analysis. In this paper, we
introduce a new family of bivariate generalized Weibull (BGW) distributions,
whose univariate marginals are exponentiated Weibull distribution. Different
statistical quantiles like marginals, conditional distribution, conditional
expectation, product moments, correlation and a measure component reliability
are derived. Various measures of dependence and statistical properties along
with ageing properties are examined. Further, the copula associated with BGW
distribution and its various important properties are also considered. The
methods of maximum likelihood and Bayesian estimation are employed to estimate
unknown parameters of the model. A Monte Carlo simulation and real data study
are carried out to demonstrate the performance of the estimators and results
have proven the effectiveness of the distribution in real-life situations
