A general class of nonparametric control charts

Abstract

In this article, we introduce a new general class of nonparametric Shewhart-type control charts using the lengths of runs of test sample observations between successive observations of a reference sample. Several control charts that have appeared in the literature are members of the new family. In addition, 3 new nonparametric control charts that belong to the class are introduced and studied. Numerical results depict that the proposed charts attain competitive in-control and out-of-control performance as compared with existing nonparametric charts. Copyright © 2018 John Wiley & Sons, Ltd.