In this paper, we introduce a new distribution called Burr III-Weibull(BW) distribution using the concept of competing risk. We derive moments, conditional moments, mean deviation and quantiles of the proposed distribution. Also the Renyi's entropy and order statistics of the distribution are obtained. Estimation of parameters of the distribution is performed via maximum likelihood method. A simulation study is performed to validate the maximum likelihood estimator (MLE). A real practical data set is analyzed for illustration.

翻译：在本文中,我们采用相互竞争的风险概念引入了一种名为Burr III-Weibull(BW)的新的分发方式。我们从拟议的分发方式中获取时间、条件时间、平均偏差和数量。还获取了Renyi的分发方式和顺序统计。通过最大可能性方法对分发的参数进行了估计。进行了模拟研究,以验证最大可能性估计值(MLE)。分析了一个真实的实用数据集,以图解。