In this paper, we introduce a new lifetime distribution with increasing, decreasing and bathtub-shaped hazard rate function which is constructed by compounding of the Weibull and Chen distributions and is called Weibull–Chen (W–C) distribution. The new distribution is more flexible to model the bathtub-shaped hazard rate data, and its hazard rate function is simple. We study its statistical properties including quantiles, moments, order statistics and Renyi entropy. The estimation of parameters by maximum likelihood method is discussed, and a Monte Carlo simulation study is conducted to investigate the performance of the maximum likelihood estimators. Finally, it is shown that the proposed distribution fits two real lifetime data better than other distributions.

在本文中，我们介绍了一种具有增加，减少和浴缸形危险率函数的新寿命分布，该分布是通过将Weibull和Chen分布进行混合而构造的，称为Weibull–Chen（W–C）分布。新的分布更加灵活，可以对浴缸形的危险率数据进行建模，并且其危险率功能很简单。我们研究其统计特性，包括分位数，矩，阶次统计和仁义熵。讨论了通过最大似然法估计参数的方法，并进行了蒙特卡洛模拟研究，以研究最大似然估计器的性能。最后，表明所建议的分布比其他分布更适合两个实际寿命数据。