Generalized Auxiliary-Information Based Control Charts for Process Control
Description: The auxiliary-information based control chart has been proved more efficient to catch process parameter shifts than using typical control chart. But relevant univariate or multivariate auxiliary-information based control charts were designed using the normality assumption. These relevant auxiliary-information based control charts are simple for use. In practical engineering applications, it is often that the quality variable and auxiliary-information variable do not follow a normal distribution. This fact reduces the efficiency of the relevant auxiliary-information based control charts, which are constructed using the normality assumption to catch process parameter shifts. There are difficulties to construct auxiliary-information based control charts for monitoring generalized cases to cover not only symmetrically distributed data. Even to construct a univariate auxiliary-information based control chart to do process monitoring for a skewed distribution, we will encounter theoretical difficulties in constructing control charts because finally we could need to use multivariate control charts for process monitoring. We will push this grant project with 2 years. In the first year, we plan to construct a new auxiliary-information based control chart for the skew-normal distribution. The new auxiliary-information based control chart can be used to monitor the process, in which the data can follow either a symmetric or asymmetric distribution. Because the skew-normal distribution could not a good model for fitting heavy-tailed distribution data. In the second year of this grant project, we plan to design a generalized auxiliary-information based control chart, which can be used for process monitoring for thin-tailed or heavy-tailed distributions and for symmetric or skewed distributions.
Amount: TWD 1,639,000
Funding type: research
Funder scheme: 學術補助
Investigator: 蔡宗儒
Institution: 淡江大學統計學系
Funded outputs count: 8
Funder award ID: MOST108-2221-E032-018-MY2
OpenAlex ID: G4635702756