@book{4a5ff8aa196b4196b3c8ca09a390d70a,

title = "Control charts for high-quality processes: MAX or CUMAX?",

abstract = "For attribute data with (very) small failure rates control charts were introduced which are based on subsequent groups of r failure times, for some r >= 1. Within this family, it was shown to be attractive to stop once the maximum of such a group is sufficiently small, because this choice allows a very satisfactory nonparametric adaptation. The question we address here is whether a cumulative approach offers even further improvement. Thus instead of fixed groups, we shall use the first sequence of r consecutive sufficiently small failure times to produce a signal. A further reason for considering this type of chart is the fact that it forms the nonparametric counterpart of the well-known sets method.",

keywords = "Order statistics, Statistical process control, Sets method, Estimated parameters, MSC-62P10, Average run length, Geometric charts, Health care monitoring",

author = "Willem Albers",

year = "2011",

month = jul,

language = "English",

series = "Memorandum",

publisher = "University of Twente, Department of Applied Mathematics",

number = "1948",

}