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Regenerative Likelihood Ratio Control Schemes

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Frontiers in Statistical Quality Control 11

Part of the book series: Frontiers in Statistical Quality Control ((FSQC))

Abstract

We discuss the problem of monitoring where models driving the data are undergoing abrupt changes in time, such as shifts or drifts. We introduce a unified methodology based on the use of likelihood ratio tests that enables one to obtain control schemes that provide both good (and, under some conditions, optimal) statistical performance and are relatively easy to implement. These schemes depend on just one design parameter and require a limited computational effort that is dynamically adjusted based on process conditions. An example pertaining to multivariate control of the normal mean is discussed in detail.

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Acknowledgements

I would like to thank the Editor, the Referee and Dr. Sara Basson (IBM Research) for valuable help on bringing this work to a form suitable for publication.

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Correspondence to Emmanuel Yashchin .

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Yashchin, E. (2015). Regenerative Likelihood Ratio Control Schemes. In: Knoth, S., Schmid, W. (eds) Frontiers in Statistical Quality Control 11. Frontiers in Statistical Quality Control. Springer, Cham. https://doi.org/10.1007/978-3-319-12355-4_5

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