The current paper introduces a new flexible probability distribution model called transmuted XGamma distribution which pullulates from the XGamma distribution and possesses the characteristics of XGamma distribution in special cases. In the paper, we obtain the explicit expressions for some important statistical properties of the introduced distribution such as hazard rate and survival functions, mean residual life, moment-generating function, moments, skewness, kurtosis, distribution of its order statistics, Lorenz and Bonferroni curves. Besides obtaining the various effective estimators for the parameters of the distribution, estimation performances of these estimators are comparatively examined with a series of Monte Carlo simulations. Furthermore, to demonstrate the modeling ability of the proposed distribution on real-world phenomena, an illustrative example is performed by using an actual data set in connection with the field of the lifetime.

中文翻译：

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一类新的XGamma分布的属性和推断

本文介绍了一种新的灵活概率分布模型，称为变换XGamma分布，该模型从XGamma分布中提取出各种信息，并在特殊情况下具有XGamma分布的特征。在本文中，我们获得了引入分布的一些重要统计属性的显式表达式，例如危险率和生存函数，平均剩余寿命，矩生成函数，矩，偏度，峰度，阶数统计分布，Lorenz和Bonferroni曲线。除了获得分布参数的各种有效估计量外，还通过一系列的蒙特卡洛模拟比较研究了这些估计量的估计性能。此外，为了证明所提出的分布对现实现象的建模能力，