Abstract
AbstractThere are several multivariate extensions to the venerable cumulative sum (CUSUM) chart. This work provides a comparison of the advantages and disadvantages of each, as well as performance evaluations and a description of their interrelationships. A new derivation is also provided. Extensive simulation results that include initial and steady‐state conditions are presented. Geometric descriptions are used, and names are proposed based on these geometric characteristics. As several of the key steps in the development of a multivariate extension to a CUSUM also appear in the construction of a two‐sided CUSUM, some approaches to a two‐sided CUSUM are also summarized. Copyright © 2004 John Wiley & Sons, Ltd.
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