The principle of parsimonious modelling of lifetimes has regained its importance recently. The value of stochastic modelling in dealing with the inevitable uncertainty and risk is nowadays highly appreciated. However, several families of distributions used in stochastic modelling of lifetimes are often non-parsimonious, unnatural, theoretically unjustified, and sometimes unnecessary. Here we propose a transformation for obtaining a new class of parsimonious distributions, and introduce two new distributions using exponential and Weibull as the baseline distribution in this transformation. The behaviour of hazard rates of the distributions are examined along with other analytical properties. Parameter estimation of the proposed models is done using the maximum likelihood method. Using simulation studies, we have shown that the parameters estimated from the distributions are consistent. Further, the new parsimonious life distributions are applied to a real data set. Our models provide a better fit to the data compared to various distributions in the literature.

生命周期的简约建模原则最近重新变得重要起来。如今，随机建模在处理不可避免的不确定性和风险方面的价值受到高度赞赏。然而，在生命周期的随机建模中使用的几个分布族通常是非简约的、不自然的、理论上不合理的，有时甚至是不必要的。在这里，我们提出了一种用于获得一类新的简约分布的变换，并在此变换中使用指数分布和威布尔分布作为基线分布引入了两个新分布。与其他分析属性一起检查分布的危险率行为。所提出模型的参数估计是使用最大似然法完成的。使用模拟研究，我们已经证明从分布估计的参数是一致的。此外，新的简约寿命分布应用于真实数据集。与文献中的各种分布相比，我们的模型对数据提供了更好的拟合。