Guaranteed Conditional Performance of Control Charts via Bootstrap Methods
File(s)
Accepted version
Author(s)
Gandy, A
Kvaløy, JT
Type
Journal Article
Abstract
To use control charts in practice, the in-control state usually has to be
estimated. This estimation has a detrimental effect on the performance of
control charts, which is often measured for example by the false alarm
probability or the average run length. We suggest an adjustment of the
monitoring schemes to overcome these problems. It guarantees, with a certain
probability, a conditional performance given the estimated in-control state.
The suggested method is based on bootstrapping the data used to estimate the
in-control state. The method applies to different types of control charts, and
also works with charts based on regression models, survival models, etc. If a
nonparametric bootstrap is used, the method is robust to model errors. We show
large sample properties of the adjustment. The usefulness of our approach is
demonstrated through simulation studies.
estimated. This estimation has a detrimental effect on the performance of
control charts, which is often measured for example by the false alarm
probability or the average run length. We suggest an adjustment of the
monitoring schemes to overcome these problems. It guarantees, with a certain
probability, a conditional performance given the estimated in-control state.
The suggested method is based on bootstrapping the data used to estimate the
in-control state. The method applies to different types of control charts, and
also works with charts based on regression models, survival models, etc. If a
nonparametric bootstrap is used, the method is robust to model errors. We show
large sample properties of the adjustment. The usefulness of our approach is
demonstrated through simulation studies.
Date Issued
2013-03-27
Citation
Scandinavian Journal of Statistics, 2013, n/a, pp.n/a-
ISSN
0303-6898
Publisher
Wiley Publishing Ltd.
Start Page
n/a
End Page
668
Journal / Book Title
Scandinavian Journal of Statistics
Volume
n/a
Issue
4
Copyright Statement
© 2013 Board of the Foundation of the Scandinavian Journal of Statistics. This is the peer reviewed version of the following article: Gandy, A. and Kvaløy, J. T. (2013), Guaranteed Conditional Performance of Control Charts via Bootstrap Methods. Scandinavian Journal of Statistics, 40: 647–668, which has been published in final form at http://dx.doi.org/10.1002/sjos.12006. This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.
Identifier
http://arxiv.org/abs/1111.4180v1
Publication Status
Published