Extropy and its properties are explored to quantify the uncertainty. In this paper, we obtain alternative expressions for cumulative residual extropy and cumulative extropy. We obtain simple estimators of cumulative (residual) extropy. Asymptotic properties of the proposed estimators are studied. We also present new estimators of cumulative (residual) extropy when the data contains right censored observations. Finite sample performance of the estimators is evaluated through Monte Carlo simulation studies. We use the proposed estimators to analyze different real data. Finally, we discuss several open problems associated with dynamic and weighted extropy measures.
翻译：为了量化不确定性,我们探索了Extropy及其特性,以量化不确定性。在本文中,我们获得了累积剩余机流和累积机流的替代表达方式。我们获得了累积(residual) extropy 的简单估计值。我们研究了拟议估算器的随机特性。当数据包含经过适当审查的观察数据时,我们还提出了累积(residual) extropy的新的估计值。通过蒙特卡洛模拟研究,评估了估计器的有限样品性能。我们使用拟议的估算器分析不同的真实数据。最后,我们讨论了与动态和加权扩展计量有关的几个公开问题。
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