Al-Kzzaz H S, Abd El-Monsef M M E
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.
J Appl Stat. 2021 Mar 10;49(9):2287-2306. doi: 10.1080/02664763.2021.1899143. eCollection 2022.
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，我们引入了一种名为逆幂麦克斯韦分布的新概率分布。该提议分布可被视为麦克斯韦分布的扩展，在对倒置寿命数据进行建模时具有更大的灵活性。推导了该分布的一些统计性质。从估计的角度来看，使用了五种方法来估计该分布的未知参数，并且这些方法通过模拟研究来执行。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能更好地拟合每个真实数据集。
