论文标题
过去一生的变异
Varentropy of past lifetimes
论文作者
论文摘要
在可靠性理论中，不确定性是通过香农熵来衡量的。最近，为了分析这种度量的可变性，已经引入并研究了变异镜。在本文中，我们将过去生命分布的新变化概念定义为过去一生中不确定性的变异性。我们分析了这种变体的关系与相应的过去熵以及其他感兴趣的可靠性概念，并研究了线性和单调转换对其的影响。最后，我们根据比例反向危险率模型评估了过去的变异拷贝。
In Reliability Theory, uncertainty is measured by the Shannon entropy. Recently, in order to analyze the variability of such measure, varentropy has been introduced and studied. In this paper we define a new concept of varentropy for past lifetime distributions as the variability of uncertainty in past lifetime. We analyze the relation of this varentropy with the corresponding past entropy and other concepts of interest in reliability and we study the effect of linear and monotonic transformations on it. Finally, we evaluate past varentropy for random variables following a proportional reversed hazard rate model.
