A class of distribution-free control charts

S. Chakraborti; P. Laan, van der; M.A. Wiel, van de

doi:10.1111/j.1467-9876.2004.0d489.x

A class of distribution-free control charts

S. Chakraborti, P. Laan, van der, M.A. Wiel, van de

Statistics

Research output: Contribution to journal › Article › Academic › peer-review

82 Citations (Scopus)

Abstract

A class of Shewhart-type distribution-free control charts is considered. A key advantage of these charts is that the in-control run length distribution is the same for all continuous process distributions. Exact expressions for the run length distribution and the average run length (ARL) are derived and properties of the charts are studied via evaluations of the run length distribution probabilities and the ARL. Tables are provided for implementation for some typical ARL values and false alarm rates. The charts proposed are preferable from a robustness point of view, have attractive ARL properties and would be particularly useful in situations where one uses a classical Shewhart X-chart. A numerical illustration is given.

Original language	English
Pages (from-to)	443-462
Journal	Journal of the Royal Statistical Society. Series C: Applied Statistics
Volume	53
Issue number	3
DOIs	https://doi.org/10.1111/j.1467-9876.2004.0d489.x
Publication status	Published - 2004

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title = "A class of distribution-free control charts",

abstract = "A class of Shewhart-type distribution-free control charts is considered. A key advantage of these charts is that the in-control run length distribution is the same for all continuous process distributions. Exact expressions for the run length distribution and the average run length (ARL) are derived and properties of the charts are studied via evaluations of the run length distribution probabilities and the ARL. Tables are provided for implementation for some typical ARL values and false alarm rates. The charts proposed are preferable from a robustness point of view, have attractive ARL properties and would be particularly useful in situations where one uses a classical Shewhart X-chart. A numerical illustration is given.",

author = "S. Chakraborti and {Laan, van der}, P. and {Wiel, van de}, M.A.",

year = "2004",

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AU - Wiel, van de, M.A.

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N2 - A class of Shewhart-type distribution-free control charts is considered. A key advantage of these charts is that the in-control run length distribution is the same for all continuous process distributions. Exact expressions for the run length distribution and the average run length (ARL) are derived and properties of the charts are studied via evaluations of the run length distribution probabilities and the ARL. Tables are provided for implementation for some typical ARL values and false alarm rates. The charts proposed are preferable from a robustness point of view, have attractive ARL properties and would be particularly useful in situations where one uses a classical Shewhart X-chart. A numerical illustration is given.

AB - A class of Shewhart-type distribution-free control charts is considered. A key advantage of these charts is that the in-control run length distribution is the same for all continuous process distributions. Exact expressions for the run length distribution and the average run length (ARL) are derived and properties of the charts are studied via evaluations of the run length distribution probabilities and the ARL. Tables are provided for implementation for some typical ARL values and false alarm rates. The charts proposed are preferable from a robustness point of view, have attractive ARL properties and would be particularly useful in situations where one uses a classical Shewhart X-chart. A numerical illustration is given.

U2 - 10.1111/j.1467-9876.2004.0d489.x

DO - 10.1111/j.1467-9876.2004.0d489.x

M3 - Article

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EP - 462

JO - Journal of the Royal Statistical Society. Series C: Applied Statistics

JF - Journal of the Royal Statistical Society. Series C: Applied Statistics

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ER -

A class of distribution-free control charts

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