论文标题
关于极端阶统计的累积残差（过去）外部
On Cumulative Residual (Past) Extropy of Extreme Order Statistics
论文作者
论文摘要
在最近的信息理论文献中，已经研究了额外统计的外向概念。在目前的交流中，我们考虑了累积残留（过去）熵的额外额外的累积类似物，并以极端顺序的统计数据进行研究。此处还研究了最小（最大）订单统计量的累积残差（过去）外侧面的动态版本。结果表明，拟议的极端顺序统计措施（及其动态版本）决定了分布的独特之处。给出了通常在可靠性建模中使用的广义帕累托和功率分布的一些特征。
In the recent information-theoretic literature, the concept of extropy has been studied for order statistics. In the present communication we consider a cumulative analogue of extropy in the same vein of cumulative residual (past) entropy and study it in context with extreme order statistics. A dynamic version of cumulative residual (past) extropy for smallest (largest) order statistic is also studied here. It is shown that the proposed measures (and their dynamic versions) of extreme order statistics determine the distribution uniquely. Some characterizations of the generalized Pareto and power distributions, which are commonly used in reliability modeling, are given.
