### Abstract

Classical Shewhart control charts based on groups of observations use the average as statistic to decide whether a signal should be produced or not. Here several other statistics are investigated as well. Moreover, individual charts are compared with group charts. The chart using the minimum of each group of observations is a promising new proposal. For this chart (nonparametric) estimation of an extreme quantile is reduced to estimation of an ordinary quantile, which is far easier to perform accurately. The behavior of the minimum-chart is competitive to that of the average-chart when distributions are known.

Original language | English |
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Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

Number of pages | 14 |

Publication status | Published - 2004 |

### Publication series

Name | Memorandum |
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Publisher | University of Twente, Department of Applied Mathematics |

No. | 1717 |

ISSN (Print) | 0169-2690 |

### Keywords

- MSC-62P30
- MSC-62C05

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## Cite this

Albers, W., & Kallenberg, W. C. M. (2004).

*Alternative Shewhart-type charts for grouped observations*. (Memorandum; No. 1717). Enschede: University of Twente, Department of Applied Mathematics.