
TL;DR
This paper introduces definitions and properties of minimal charts, establishing fundamental theorems to classify charts with two or three crossings, and sets the stage for future enumeration of charts with two crossings.
Contribution
It provides formal definitions and fundamental theorems for minimal charts, advancing classification methods for charts with few crossings.
Findings
Fundamental theorems characterizing minimal charts
Classification of charts with two or three crossings
Framework for future enumeration of charts with two crossings
Abstract
In this paper, we give definitions of three kinds of minimal charts, and we investigate properties of minimal charts and establish fundamental theorems characterizing minimal charts. To classify charts with two or three crossings we use the fundamental theorems. In the future paper, we give an numeration of the charts with two crossings.
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Taxonomy
TopicsAdvanced Statistical Process Monitoring
