arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2207.09321stat.CO

funcharts:R 中用于多元函数型数据的控制图

funcharts: Control charts for multivariate functional data in R

Christian Capezza, Fabio Centofanti, Antonio Lepore, Alessandra Menafoglio, Biagio Palumbo, Simone Vantini

AI总结:

针对轮廓监控缺少实用软件的问题,本文提出 funcharts R 包,实现多元函数型质量特性的控制图、协变量调整及实时部分轮廓监控,并通过数据生成器和船舶 CO2 排放案例验证。

摘要:

现代统计过程监控(SPM)应用聚焦于轮廓监控,即对可建模为轮廓(也称为函数型数据)的过程质量特性进行监控。尽管轮廓监控文献受到广泛关注,但仍缺乏便于其实际应用的软件。本文介绍了 funcharts R 包,该包实现了多元函数型质量特性 SPM 的最新进展,并可根据额外变量(称为协变量)的影响进行调整。该包还实现了所有控制图程序的实时版本,用于监控在中间域点之前被部分观测的轮廓。文中通过该包内置的数据生成器,以及一项关于 Ro-Pax 船舶航行期间 CO2 排放 SPM 的真实案例研究对其进行了说明,该案例研究基于补充材料中提供的 ShipNavigation 数据。

英文摘要:

Modern statistical process monitoring (SPM) applications focus on profile monitoring, i.e., the monitoring of process quality characteristics that can be modeled as profiles, also known as functional data. Despite the large interest in the profile monitoring literature, there is still a lack of software to facilitate its practical application. This article introduces the funcharts R package that implements recent developments on the SPM of multivariate functional quality characteristics, possibly adjusted by the influence of additional variables, referred to as covariates. The package also implements the real-time version of all control charting procedures to monitor profiles partially observed up to an intermediate domain point. The package is illustrated both through its built-in data generator and a real-case study on the SPM of Ro-Pax ship CO2 emissions during navigation, which is based on the ShipNavigation data provided in the Supplementary Material.

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。

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