Parametric bootstrap process capability index control charts for both mean and dispersion |
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Authors: | Jiaqing Xu |
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Institution: | School of Science, Ningbo University of Technology, Ningbo, Zhejiang, P. R. China |
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Abstract: | AbstractNon-normal processes are common in practice. In this paper, we propose a novel approach to defining bootstrap process capability index (PCI) control charts to monitor the performance of in-control skew normal processes. We use a bootstrap method to calculate phase I control limits of the corresponding PCI control charts. The β-risk curves of the associated PCI control charts will be used to assess the performance of the PCI control charts. We use Monte-Carlo simulation to evaluate the performance of the proposed PCI control charts. A numerical example to illustrate the implementation of the proposed control charts. |
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Keywords: | Process capability index control charts statistical quality control Bootstrap Monte-Carlo simulation β-risk average run length (ARL) |
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