偏序集上的常数率分布
Constant Rate Distributions on Partially Ordered Sets
摘要：
我们考虑偏序集上具有常数率的概率分布，推广了通常可靠性设置中具有常数故障率的分布。尽管最小的代数结构，有一个令人惊讶的丰富的理论，包括矩结果和结果有关的阶梯变量和点过程。我们主要集中在离散偏序集，特别是偏序集的图是有根树。本文对一般离散偏序集的常数率分布的存在性提出了一些问题。
英文摘要：
We consider probability distributions with constant rate on partially ordered sets, generalizing distributions in the usual reliability setting that have constant failure rate. In spite of the minimal algebraic structure, there is a surprisingly rich theory, including moment results and results concerning ladder variables and point processes. We concentrate mostly on discrete posets, particularly posets whose graphs are rooted trees. We pose some questions on the existence of constant rate distributions for general discrete posets.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
