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An Introduction to Discrete-Valued Time Series
book

An Introduction to Discrete-Valued Time Series

by Christian H. Weiss
February 2018
Intermediate to advanced content levelIntermediate to advanced
304 pages
9h 55m
English
Wiley
Content preview from An Introduction to Discrete-Valued Time Series

Chapter 8Control Charts for Count Processes

8.1 Introduction to Statistical Process Control

Methods of statistical process control (SPC) help to monitor and improve processes in manufacturing and service industries, and they are also often used in fields such as public-health surveillance. For the given process, relevant quality characteristics are measured over time, thus leading to a (possibly multivariate) stochastic process c08-math-001 of continuous-valued or discrete-valued random variables (variables data or attributes data, respectively). Examples of such quality characteristics could be the diameter of a drill hole (variables data) or the number of non-conformities (attributes data) in a produced item, or the number of infections in a health-related example. One of the most important SPC tools is the control chart, which requires the relevant quality characteristics to be measured online. Control charts are applied to a process operating in a stable state (in control); that is, c08-math-002 is assumed to be stationary according to a specified model (the in-control model). As a new measurement arrives, it is used to compute a statistic (possibly also incorporating past values of the quality characteristic), which is then plotted on the control chart with its control limits. If the statistic violates ...

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Publisher Resources

ISBN: 9781119096962Purchase book