In this paper, we introduced a new probability distribution named as inverse power Maxwell distribution. The proposal distribution can be seen as an extension of the Maxwell distribution with more flexibility in modeling upside-down lifetime data. Some statistical properties of this distribution are derived. In estimation viewpoint, five methods are used for estimating the unknown parameters of the distribution and these methods are performed through the simulation study. Finally, two real data sets were analyzed to illustrate the applicability of the proposed distribution, proving that it fits each real data set much better than some other existing distributions.

在本文中，我们介绍了一种新的概率分布，称为逆幂麦克斯韦分布。提议分布可以看作是 Maxwell 分布的扩展，在对倒置寿命数据建模方面具有更大的灵活性。导出了该分布的一些统计特性。在估计的观点，五种方法被用来估计分布的未知参数，这些方法是通过模拟研究来执行的。最后，分析了两个真实数据集以说明所提出分布的适用性，证明它比其他一些现有分布更适合每个真实数据集。