@book{053bc400e3384e2fa00f4aab4ba6770f,

title = "MINDCUMIN charts",

abstract = "A serious drawback of classical control charts is their high sensitivity to deviations from normality. By now, many alternative procedures, often of a nonparametric nature, have been proposed. A danger with these competitors is that unrealistically large Phase I samples might be needed. This can be avoided by using groups of, rather than individual (IND), observations during Phase II. A recently introduced successful example is the CUMIN chart: a signal occurs as soon as m consecutive observations all exceed some suitably chosen upper limit. An interesting question is how m should be chosen in this cumulative minimum. If large (small shifts are likely to occur, m should be small (large). As often the magnitude of possible shifts is unclear, it is attractive to be flexible w.r.t. the choice of m. In the present paper a procedure is developed which achieves this goal by combining an IND and a CUMIN procedure. As input minima of small blocks (e.g. pairs or triples) of observations should be used, to avoid recurrence of the problem of the need for unrealistically large Phase I samples.",

keywords = "METIS-241941, MSC-62G30, MSC-62P30, MSC-62L10, EWI-11131, Order statistics, Statistical Process Control, Phase II control limits, CUSUM-chart, IR-64373",

author = "Willem/Wim Albers and W.C.M. Kallenberg",

note = "eemcs-eprint-11131 ",

year = "2007",

month = sep,

language = "Undefined",

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

number = "LNCS4549/1851",

}