可修系统的统计建模与分析

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摘要翻译：
我们回顾了可修复系统的故障和维护数据的基本建模方法。特别地，我们考虑了用虚拟年龄过程定义的不完全修复模型，以及扩展了非齐次泊松过程和更新过程的趋势更新过程。在观测到几个同类系统的情况下，我们说明了如何将观测到的协变量和未观测到的异质性包括在模型中。我们还考虑了趋势测试的各种方法。现代可靠性数据库除了故障次数本身外，通常还包含故障类型、维修类型等信息。根据我们的工作，最近的文献，我们提出了一个框架，其中观察到的事件被建模为标记点过程，标记标记事件的类型。在整个论文中，重点是建模而不是统计推断。
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英文标题：
《On the Statistical Modeling and Analysis of Repairable Systems》
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作者：
Bo Henry Lindqvist
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最新提交年份：
2007
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分类信息：

一级分类：Statistics        统计学
二级分类：Methodology        方法论
分类描述：Design, Surveys, Model Selection, Multiple Testing, Multivariate Methods, Signal and Image Processing, Time Series, Smoothing, Spatial Statistics, Survival Analysis, Nonparametric and Semiparametric Methods
设计，调查，模型选择，多重检验，多元方法，信号和图像处理，时间序列，平滑，空间统计，生存分析，非参数和半参数方法
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英文摘要：
  We review basic modeling approaches for failure and maintenance data from repairable systems. In particular we consider imperfect repair models, defined in terms of virtual age processes, and the trend-renewal process which extends the nonhomogeneous Poisson process and the renewal process. In the case where several systems of the same kind are observed, we show how observed covariates and unobserved heterogeneity can be included in the models. We also consider various approaches to trend testing. Modern reliability data bases usually contain information on the type of failure, the type of maintenance and so forth in addition to the failure times themselves. Basing our work on recent literature we present a framework where the observed events are modeled as marked point processes, with marks labeling the types of events. Throughout the paper the emphasis is more on modeling than on statistical inference.
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PDF链接：
https://arxiv.org/pdf/708.0362

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关键词：统计建模 Multivariate Maintenance Statistical Time Series 考虑 process 扩展 approaches type