Abstract

In this article, we introduce a new nonparametric Shewhart − type control chart based on rank statistics. The setup of the proposed distribution − free monitoring scheme is presented in detail, while a real data example is studied in order to shed light on the implementation of the new control chart. Explicit formulae for the basic characteristics of the proposed rank-based chart are deduced. A detailed numerical study carried out depicts the performance of the new monitoring scheme for both in-control and out-of-control situations.

中文翻译：

---

一种新的基于秩的无分布监控方案

摘要

在本文中，我们介绍了一种新的基于秩统计的非参数 Shewhart - 类型控制图。详细介绍了建议的分布-免费监测方案的设置，同时研究了一个真实的数据示例，以阐明新控制图的实施。推导出所提出的基于等级的图表的基本特征的显式公式。进行的详细数值研究描述了新监控方案在控制和失控情况下的性能。