an:05135278
Zbl 1109.62121
Albers, Willem; Kallenberg, Wilbert C. M.
Self-adapting control charts
EN
Stat. Neerl. 60, No. 3, 292-308 (2006).
00185287
2006
j
62P30 62G99
statistical process control; phase II control limits; unbiasedness; exceedance probability; semi-variance; normal power family; model error; model selection
Summary: When the distributional form of the observations differs from normality, standard control charts are often prone to serious errors. Such model errors can be avoided by using (modified) nonparametric control charts. Unfortunately, these control charts suffer from large stochastic errors caused by estimation. In between these two types are the so-called parametric control charts. All three of them, as well as a combined chart, which chooses one of the three control charts according to the appropriate model assumption on the underlying distribution are discussed in this paper. The data indicate which of the three control charts to select. Readymade formulas for the several control charts are presented accompanied by an application on real data. Apart from bias removal, criteria based on exceedance probability and semi-variance are investigated.