| dc.contributor | 統計系 | |
| dc.creator (作者) | 楊素芬 | |
| dc.creator (作者) | Yang, Su-Fen;Chou, Yu-Cheng | |
| dc.date (日期) | 2026-06 | |
| dc.date.accessioned | 3-Sep-2026 09:21:28 (UTC+8) | - |
| dc.date.available | 3-Sep-2026 09:21:28 (UTC+8) | - |
| dc.date.issued (上傳時間) | 3-Sep-2026 09:21:28 (UTC+8) | - |
| dc.identifier.uri (URI) | https://ah.lib.nccu.edu.tw/item?item_id=184727 | - |
| dc.description.abstract (摘要) | For a distribution-free bivariate quality variable, we propose a sign-based ratio-of-dispersions control chart to monitor changes in the ratio of two variances. Under in-control conditions, and assuming that the process covariance matrix is known, this ratio can be equivalently expressed as the difference between the two variances. Based on this idea, we derive an unbiased estimator for the difference of the sample variances, along with its mean and variance. Using these results, we construct a sign-based ratio-of-variances control chart. Numerical studies demonstrate the properties and detection performance of the proposed chart under three different bivariate distributions. Keywords: Sign control chart; ratio of variances; bivariate distribution. | |
| dc.format.extent | 462328 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | The 40th International Workshop on Statistical Modelling (IWSM2026), OSLO University | |
| dc.title (題名) | A Phase II Sign-Based Ratio-of-dispersions Control Chart | |
| dc.type (資料類型) | conference | |
