In the present paper, we study the residual extropy using distribution function and quantile function approaches. We also investigate extropy in past lifetime in both approaches. Some characterizations and ageing properties of these extropy measures are proposed. Different stochastic orders based on the residual and past lifetime extropy are also presented.

中文翻译：

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剩余和过去寿命随机变量的外向性的一些可靠性

在本文中，我们使用分布函数和分位数函数方法研究残差外延。我们还研究了两种方法中前世的外向性。提出了这些外向测度的一些特征和老化特性。还给出了基于残差和过去寿命外向性的不同随机阶数。