Multiple Dependent State Sampling-Based Chart Using Belief Statistic under Neutrosophic Statistics
In this paper, a control chart scheme has been introduced for the mean monitoring using gamma distribution for belief statistics using multiple dependent (deferred) state sampling under the neutrosophic statistics. The coefficients of the control chart and the neutrosophic average run lengths have b...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/7680286 |
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| _version_ | 1832547632774381568 |
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| author | Ahmed Ibrahim Shawky Muhammad Aslam Khushnoor Khan |
| author_facet | Ahmed Ibrahim Shawky Muhammad Aslam Khushnoor Khan |
| author_sort | Ahmed Ibrahim Shawky |
| collection | DOAJ |
| description | In this paper, a control chart scheme has been introduced for the mean monitoring using gamma distribution for belief statistics using multiple dependent (deferred) state sampling under the neutrosophic statistics. The coefficients of the control chart and the neutrosophic average run lengths have been estimated for specific false alarm probabilities under various process conditions. The offered chart has been compared with the existing classical chart through simulation and the real data. From the comparison, it is concluded that the performance of the proposed chart is better than that of the existing chart in terms of average run length under uncertain environment. The proposed chart has the ability to detect a shift quickly than the existing chart. It has been observed that the proposed chart is efficient in quick monitoring of the out-of-control process and a cherished addition in the toolkit of the quality control personnel. |
| format | Article |
| id | doaj-art-4d59630eae0d44c098683b5544f8bc4e |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-4d59630eae0d44c098683b5544f8bc4e2025-02-03T06:43:59ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/76802867680286Multiple Dependent State Sampling-Based Chart Using Belief Statistic under Neutrosophic StatisticsAhmed Ibrahim Shawky0Muhammad Aslam1Khushnoor Khan2Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi ArabiaDepartment of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi ArabiaDepartment of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi ArabiaIn this paper, a control chart scheme has been introduced for the mean monitoring using gamma distribution for belief statistics using multiple dependent (deferred) state sampling under the neutrosophic statistics. The coefficients of the control chart and the neutrosophic average run lengths have been estimated for specific false alarm probabilities under various process conditions. The offered chart has been compared with the existing classical chart through simulation and the real data. From the comparison, it is concluded that the performance of the proposed chart is better than that of the existing chart in terms of average run length under uncertain environment. The proposed chart has the ability to detect a shift quickly than the existing chart. It has been observed that the proposed chart is efficient in quick monitoring of the out-of-control process and a cherished addition in the toolkit of the quality control personnel.http://dx.doi.org/10.1155/2020/7680286 |
| spellingShingle | Ahmed Ibrahim Shawky Muhammad Aslam Khushnoor Khan Multiple Dependent State Sampling-Based Chart Using Belief Statistic under Neutrosophic Statistics Journal of Mathematics |
| title | Multiple Dependent State Sampling-Based Chart Using Belief Statistic under Neutrosophic Statistics |
| title_full | Multiple Dependent State Sampling-Based Chart Using Belief Statistic under Neutrosophic Statistics |
| title_fullStr | Multiple Dependent State Sampling-Based Chart Using Belief Statistic under Neutrosophic Statistics |
| title_full_unstemmed | Multiple Dependent State Sampling-Based Chart Using Belief Statistic under Neutrosophic Statistics |
| title_short | Multiple Dependent State Sampling-Based Chart Using Belief Statistic under Neutrosophic Statistics |
| title_sort | multiple dependent state sampling based chart using belief statistic under neutrosophic statistics |
| url | http://dx.doi.org/10.1155/2020/7680286 |
| work_keys_str_mv | AT ahmedibrahimshawky multipledependentstatesamplingbasedchartusingbeliefstatisticunderneutrosophicstatistics AT muhammadaslam multipledependentstatesamplingbasedchartusingbeliefstatisticunderneutrosophicstatistics AT khushnoorkhan multipledependentstatesamplingbasedchartusingbeliefstatisticunderneutrosophicstatistics |