Performance of Synthetic Double Sampling Chart with Estimated Parameters Based on Expected Average Run Length
A synthetic double sampling (SDS) chart is commonly evaluated based on the assumption that process parameters (namely, mean and standard deviation) are known. However, the process parameters are usually unknown and must be estimated from an in-control Phase-I dataset. This will lead to deterioration...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2018/7583610 |
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| _version_ | 1850177948658696192 |
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| author | Huay Woon You |
| author_facet | Huay Woon You |
| author_sort | Huay Woon You |
| collection | DOAJ |
| description | A synthetic double sampling (SDS) chart is commonly evaluated based on the assumption that process parameters (namely, mean and standard deviation) are known. However, the process parameters are usually unknown and must be estimated from an in-control Phase-I dataset. This will lead to deterioration in the performance of a control chart. The average run length (ARL) has been implemented as the common performance measure in process monitoring of the SDS chart. Computation of ARL requires practitioners to determine shift size in advance. However, this requirement is too restricted as practitioners may not have the experience to specify the shift size in advance. Thus, the expected average run length (EARL) is introduced to assess the performance of the SDS chart when the shift size is random. In this paper, the SDS chart, with known and estimated process parameters, was evaluated based on EARL and compared with the performance measure, ARL. |
| format | Article |
| id | doaj-art-bcc0989e441848639d87eae3cee82109 |
| institution | OA Journals |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-bcc0989e441848639d87eae3cee821092025-08-20T02:18:51ZengWileyJournal of Probability and Statistics1687-952X1687-95382018-01-01201810.1155/2018/75836107583610Performance of Synthetic Double Sampling Chart with Estimated Parameters Based on Expected Average Run LengthHuay Woon You0Pusat PERMATApintar Negara, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, MalaysiaA synthetic double sampling (SDS) chart is commonly evaluated based on the assumption that process parameters (namely, mean and standard deviation) are known. However, the process parameters are usually unknown and must be estimated from an in-control Phase-I dataset. This will lead to deterioration in the performance of a control chart. The average run length (ARL) has been implemented as the common performance measure in process monitoring of the SDS chart. Computation of ARL requires practitioners to determine shift size in advance. However, this requirement is too restricted as practitioners may not have the experience to specify the shift size in advance. Thus, the expected average run length (EARL) is introduced to assess the performance of the SDS chart when the shift size is random. In this paper, the SDS chart, with known and estimated process parameters, was evaluated based on EARL and compared with the performance measure, ARL.http://dx.doi.org/10.1155/2018/7583610 |
| spellingShingle | Huay Woon You Performance of Synthetic Double Sampling Chart with Estimated Parameters Based on Expected Average Run Length Journal of Probability and Statistics |
| title | Performance of Synthetic Double Sampling Chart with Estimated Parameters Based on Expected Average Run Length |
| title_full | Performance of Synthetic Double Sampling Chart with Estimated Parameters Based on Expected Average Run Length |
| title_fullStr | Performance of Synthetic Double Sampling Chart with Estimated Parameters Based on Expected Average Run Length |
| title_full_unstemmed | Performance of Synthetic Double Sampling Chart with Estimated Parameters Based on Expected Average Run Length |
| title_short | Performance of Synthetic Double Sampling Chart with Estimated Parameters Based on Expected Average Run Length |
| title_sort | performance of synthetic double sampling chart with estimated parameters based on expected average run length |
| url | http://dx.doi.org/10.1155/2018/7583610 |
| work_keys_str_mv | AT huaywoonyou performanceofsyntheticdoublesamplingchartwithestimatedparametersbasedonexpectedaveragerunlength |