Recently, an alternative measure of uncertainty called extropy is proposed by Lad et al. [12]. The extropy is a dual of entropy which has been considered by researchers. In this article, we introduce an alternative measure of uncertainty of random variable which we call it cumulative residual extropy. This measure is based on the cumulative distribution function F. Some properties of the proposed measure, such as its estimation and applications, are studied. Finally, some numerical examples for illustrating the theory are included.

中文翻译：

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关于累积残差

最近，Lad 等人提出了另一种不确定性测量方法，称为 extropy。[12]。熵是研究人员已经考虑的熵的对偶。在本文中，我们介绍了另一种衡量随机变量不确定性的方法，我们称之为累积残差熵。该度量基于累积分布函数F. 研究了所提出的度量的一些特性，例如它的估计和应用。最后，还包括了一些用于说明该理论的数值例子。