Improved bootstrap X¯ control chart for non-normally distributed data
This article proposes new method to improve the performance of bootstrap control chart for non-normal data. Bootstrap control charts for monitoring data require attention because the average run length (ARL) results of the bootstrap control charts can be less accurate and lacks stability. To deal wi...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-06-01
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| Series: | MethodsX |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S221501612500038X |
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| author | Sukma Adi Perdana Muhammad Mashuri Muhammad Ahsan |
| author_facet | Sukma Adi Perdana Muhammad Mashuri Muhammad Ahsan |
| author_sort | Sukma Adi Perdana |
| collection | DOAJ |
| description | This article proposes new method to improve the performance of bootstrap control chart for non-normal data. Bootstrap control charts for monitoring data require attention because the average run length (ARL) results of the bootstrap control charts can be less accurate and lacks stability. To deal with this issue, X¯ control chart from non-normal distribution was proposed using a novel improved Bootstrap method. The control limit is constructed using improved bootstrap to ensure that the UCL and LCL obtained actually give the desired ARL0 value. Comparison of performance is studied among the Bajgier bootstrap control chart, Liu Tang Bootstrap, and their Improved bootstrap control chart. The result show that the proposed bootstrap control chart has better accuracy than its classic method. Key points: • A novel improved bootstrap method is proposed to deal with the ARL results of the bootstrap control charts that can vary. • The new X¯ Control Chart from non-normal distribution was constructed using a novel improved bootstrap method. |
| format | Article |
| id | doaj-art-0256cef62f26401aaa334e9d08bcac41 |
| institution | Kabale University |
| issn | 2215-0161 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | MethodsX |
| spelling | doaj-art-0256cef62f26401aaa334e9d08bcac412025-02-07T04:47:41ZengElsevierMethodsX2215-01612025-06-0114103190Improved bootstrap X¯ control chart for non-normally distributed dataSukma Adi Perdana0Muhammad Mashuri1Muhammad Ahsan2Department of Statistics, Faculty of Science and Data Analytics, Institut Teknologi Sepuluh Nopember, Indonesia; STAIN Sultan Abdurrahman Kepulauan Riau, Bintan, IndonesiaDepartment of Statistics, Faculty of Science and Data Analytics, Institut Teknologi Sepuluh Nopember, Indonesia; Corresponding author.Department of Statistics, Faculty of Science and Data Analytics, Institut Teknologi Sepuluh Nopember, IndonesiaThis article proposes new method to improve the performance of bootstrap control chart for non-normal data. Bootstrap control charts for monitoring data require attention because the average run length (ARL) results of the bootstrap control charts can be less accurate and lacks stability. To deal with this issue, X¯ control chart from non-normal distribution was proposed using a novel improved Bootstrap method. The control limit is constructed using improved bootstrap to ensure that the UCL and LCL obtained actually give the desired ARL0 value. Comparison of performance is studied among the Bajgier bootstrap control chart, Liu Tang Bootstrap, and their Improved bootstrap control chart. The result show that the proposed bootstrap control chart has better accuracy than its classic method. Key points: • A novel improved bootstrap method is proposed to deal with the ARL results of the bootstrap control charts that can vary. • The new X¯ Control Chart from non-normal distribution was constructed using a novel improved bootstrap method.http://www.sciencedirect.com/science/article/pii/S221501612500038XImproved Bootstrap Control Chart |
| spellingShingle | Sukma Adi Perdana Muhammad Mashuri Muhammad Ahsan Improved bootstrap X¯ control chart for non-normally distributed data MethodsX Improved Bootstrap Control Chart |
| title | Improved bootstrap X¯ control chart for non-normally distributed data |
| title_full | Improved bootstrap X¯ control chart for non-normally distributed data |
| title_fullStr | Improved bootstrap X¯ control chart for non-normally distributed data |
| title_full_unstemmed | Improved bootstrap X¯ control chart for non-normally distributed data |
| title_short | Improved bootstrap X¯ control chart for non-normally distributed data |
| title_sort | improved bootstrap x¯ control chart for non normally distributed data |
| topic | Improved Bootstrap Control Chart |
| url | http://www.sciencedirect.com/science/article/pii/S221501612500038X |
| work_keys_str_mv | AT sukmaadiperdana improvedbootstrapxcontrolchartfornonnormallydistributeddata AT muhammadmashuri improvedbootstrapxcontrolchartfornonnormallydistributeddata AT muhammadahsan improvedbootstrapxcontrolchartfornonnormallydistributeddata |