A New Statistical Approach Based on the Access of Electricity Application with Some Modified Control Charts
This article introduces a new probability model based on reflected parameter called the reflected Pareto (RP) distribution. The key properties of the RP model are investigated. A simulation study of the RP model is conducted to evaluate the performances of its estimators. A real-life application is...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/6584791 |
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| _version_ | 1849696879469658112 |
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| author | Riffat Jabeen Mashhood Ahmad Azam Zaka Mahmoud M. Mansour Abdussalam Aljadani Enayat M. Abd Elrazik |
| author_facet | Riffat Jabeen Mashhood Ahmad Azam Zaka Mahmoud M. Mansour Abdussalam Aljadani Enayat M. Abd Elrazik |
| author_sort | Riffat Jabeen |
| collection | DOAJ |
| description | This article introduces a new probability model based on reflected parameter called the reflected Pareto (RP) distribution. The key properties of the RP model are investigated. A simulation study of the RP model is conducted to evaluate the performances of its estimators. A real-life application is considered to examine the performance of proposed model. The different criteria are discussed numerically as well as graphically to show the flexibility of the RP model. The exponential weighted moving average control charts based on the maximum likelihood and modified maximum likelihood estimators for the shape parameter of the RP distribution are obtained. Detailed simulation results of proposed charts are performed to examine and analyze the performance of these charts with three in-control average run length values and two sample sizes. Finally, the application of the proposed control charts is shown by considering a real-life data set. |
| format | Article |
| id | doaj-art-5a5af6bc1e7f48969d0fa0cd6cc29f2c |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-5a5af6bc1e7f48969d0fa0cd6cc29f2c2025-08-20T03:19:20ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/6584791A New Statistical Approach Based on the Access of Electricity Application with Some Modified Control ChartsRiffat Jabeen0Mashhood Ahmad1Azam Zaka2Mahmoud M. Mansour3Abdussalam Aljadani4Enayat M. Abd Elrazik5Department of StatisticsDepartment of StatisticsDepartment of StatisticsDepartment of Management Information SystemsDepartment of ManagementDepartment of Management Information SystemsThis article introduces a new probability model based on reflected parameter called the reflected Pareto (RP) distribution. The key properties of the RP model are investigated. A simulation study of the RP model is conducted to evaluate the performances of its estimators. A real-life application is considered to examine the performance of proposed model. The different criteria are discussed numerically as well as graphically to show the flexibility of the RP model. The exponential weighted moving average control charts based on the maximum likelihood and modified maximum likelihood estimators for the shape parameter of the RP distribution are obtained. Detailed simulation results of proposed charts are performed to examine and analyze the performance of these charts with three in-control average run length values and two sample sizes. Finally, the application of the proposed control charts is shown by considering a real-life data set.http://dx.doi.org/10.1155/2024/6584791 |
| spellingShingle | Riffat Jabeen Mashhood Ahmad Azam Zaka Mahmoud M. Mansour Abdussalam Aljadani Enayat M. Abd Elrazik A New Statistical Approach Based on the Access of Electricity Application with Some Modified Control Charts Journal of Mathematics |
| title | A New Statistical Approach Based on the Access of Electricity Application with Some Modified Control Charts |
| title_full | A New Statistical Approach Based on the Access of Electricity Application with Some Modified Control Charts |
| title_fullStr | A New Statistical Approach Based on the Access of Electricity Application with Some Modified Control Charts |
| title_full_unstemmed | A New Statistical Approach Based on the Access of Electricity Application with Some Modified Control Charts |
| title_short | A New Statistical Approach Based on the Access of Electricity Application with Some Modified Control Charts |
| title_sort | new statistical approach based on the access of electricity application with some modified control charts |
| url | http://dx.doi.org/10.1155/2024/6584791 |
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