AI 中文总结
该研究定义了状态更新系统的年龄离散度及k阶扩展，分析了M/G/1/1排队系统中的年龄离散度，并建立了其与k阶年龄信息的关联。
AI 中文摘要
本文引入并定义了年龄离散度作为状态更新系统时间一致性的度量指标：年龄离散度定义为最近两次收到更新的年龄之差，其高阶扩展即k阶年龄离散度，用于捕捉最近一次更新与第k+1次最近更新的年龄差。我们分析了M/G/1/1排队系统中的年龄离散度，同时建立了k阶年龄离散度与k阶年龄信息（AoI）的关联，其中AoI用于量化第k次最近收到更新的年龄。
英文摘要
We introduce and characterize \emph{age dispersion} as a measure of temporal consistency in status update systems. Age dispersion is defined as the difference between the ages of the two most recently received updates, and its higher-order extension, the {$k$-th} order age dispersion, captures the difference between the ages of the most recent update and the $(k+1)$-th most recent one. We analyze age dispersion in an M/G/1/1 queueing system. Furthermore, we establish connections between the {$k$-th} order age dispersion and the {$k$-th} order age of information (AoI), where the latter quantifies the age of the {$k$-th} most recently received update.
