关于过去生存时间条件分布的不确定性属性

On the Uncertainty Properties of the Conditional Distribution of the Past Life Time.

作者信息

Kayid Mohamed, Shrahili Mansour

机构信息

Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia.

出版信息

Entropy (Basel). 2023 Jun 2;25(6):895. doi: 10.3390/e25060895.

DOI:10.3390/e25060895

PMID:37372239

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10297174/

Abstract

For a given system observed at time , the past entropy serves as an uncertainty measure about the past life-time of the distribution. We consider a coherent system in which there are components that have all failed at time . To assess the predictability of the life-time of such a system, we use the signature vector to determine the entropy of its past life-time. We explore various analytical results, including expressions, bounds, and order properties, for this measure. Our results provide valuable insight into the predictability of the coherent system's life-time, which may be useful in a number of practical applications.

摘要

对于在时间观察到的给定系统，过去熵用作关于分布过去寿命的不确定性度量。我们考虑一个相干系统，其中有个组件在时间时全部失效。为了评估这样一个系统寿命的可预测性，我们使用签名向量来确定其过去寿命的熵。我们探索了关于此度量的各种分析结果，包括表达式、界和序性质。我们的结果为相干系统寿命的可预测性提供了有价值的见解，这在许多实际应用中可能是有用的。