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
翻译：Univariate Weibull 分布是一个众所周知的终生分布,在可靠性和生存性分析中广泛使用。在本文中,我们引入了一个新的双轨通用 Weibull (BGW)分布式新体系,其单河边边是推出式的 Weibull 分布式。可以得出各种不同的统计数量,如边际、有条件分布、有条件的分布、有条件预期、产品瞬间、相关性和计量成分可靠性等。将研究各种依赖性和统计特性以及老化特性的计量。此外,还考虑了与BGW分布及其重要属性相关的相交量和统计特性。还考虑了与BGW分布及其重要属性相关的相交替的相交量。使用最大可能性和巴耶斯估计法来估计模型的未知参数。进行了蒙特卡洛模拟和真实数据研究,以展示估计者的表现和结果证明了真实生活中分布的实效。
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