An Alternative Model for Describing the Reliability Data: Applications, Assessment, and Goodness-of-Fit Validation Testing
We provide a new extension of the exponential distribution with an emphasis on the practical elements of the model. Six different classical estimation methods were applied and compared. The main test was evaluated on complete data using four sets of data. Additionally, four applications and the deri...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/6/1308 |
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| author | Haitham M. Yousof Hafida Goual Walid Emam Yusra Tashkandy Morad Alizadeh M. Masoom Ali Mohamed Ibrahim |
| author_facet | Haitham M. Yousof Hafida Goual Walid Emam Yusra Tashkandy Morad Alizadeh M. Masoom Ali Mohamed Ibrahim |
| author_sort | Haitham M. Yousof |
| collection | DOAJ |
| description | We provide a new extension of the exponential distribution with an emphasis on the practical elements of the model. Six different classical estimation methods were applied and compared. The main test was evaluated on complete data using four sets of data. Additionally, four applications and the derivation of the new Nikulin statistic test for the new probability model under the censored situation are described. Both tests were evaluated through simulation experiments on complete data and on artificial and censored data. In addition, a set of simulation experiments were presented, which were used and employed to evaluate the original statistical test and the new modified statistical test based on statistical controls in the evaluation processes. |
| first_indexed | 2024-03-11T06:13:41Z |
| format | Article |
| id | doaj.art-c32e09efd0df4ed9bd805d51490c79f1 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T06:13:41Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-c32e09efd0df4ed9bd805d51490c79f12023-11-17T12:26:47ZengMDPI AGMathematics2227-73902023-03-01116130810.3390/math11061308An Alternative Model for Describing the Reliability Data: Applications, Assessment, and Goodness-of-Fit Validation TestingHaitham M. Yousof0Hafida Goual1Walid Emam2Yusra Tashkandy3Morad Alizadeh4M. Masoom Ali5Mohamed Ibrahim6Department of Statistics, Mathematics and Insurance, Faculty of Commerce, Benha University, Benha 13518, EgyptLaboratory of Probability and Statistics (LaPS), Department of Mathematics, Badji Mokhtar Annaba University, Annaba 23000, AlgeriaDepartment of Statistics and Operations Research, Faculty of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Statistics and Operations Research, Faculty of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Statistics, Persian Gulf University, Bushehr 75169, IranDepartment of Mathematical Sciences, Ball State University, Muncie, IN 47306, USADepartment of Applied, Mathematical and Actuarial Statistics, Faculty of Commerce, Damietta University, Damietta 34517, EgyptWe provide a new extension of the exponential distribution with an emphasis on the practical elements of the model. Six different classical estimation methods were applied and compared. The main test was evaluated on complete data using four sets of data. Additionally, four applications and the derivation of the new Nikulin statistic test for the new probability model under the censored situation are described. Both tests were evaluated through simulation experiments on complete data and on artificial and censored data. In addition, a set of simulation experiments were presented, which were used and employed to evaluate the original statistical test and the new modified statistical test based on statistical controls in the evaluation processes.https://www.mdpi.com/2227-7390/11/6/1308assessmentgoodness-of-fitreliability datadata modelingNikulin-Rao-Robsonvalidation |
| spellingShingle | Haitham M. Yousof Hafida Goual Walid Emam Yusra Tashkandy Morad Alizadeh M. Masoom Ali Mohamed Ibrahim An Alternative Model for Describing the Reliability Data: Applications, Assessment, and Goodness-of-Fit Validation Testing Mathematics assessment goodness-of-fit reliability data data modeling Nikulin-Rao-Robson validation |
| title | An Alternative Model for Describing the Reliability Data: Applications, Assessment, and Goodness-of-Fit Validation Testing |
| title_full | An Alternative Model for Describing the Reliability Data: Applications, Assessment, and Goodness-of-Fit Validation Testing |
| title_fullStr | An Alternative Model for Describing the Reliability Data: Applications, Assessment, and Goodness-of-Fit Validation Testing |
| title_full_unstemmed | An Alternative Model for Describing the Reliability Data: Applications, Assessment, and Goodness-of-Fit Validation Testing |
| title_short | An Alternative Model for Describing the Reliability Data: Applications, Assessment, and Goodness-of-Fit Validation Testing |
| title_sort | alternative model for describing the reliability data applications assessment and goodness of fit validation testing |
| topic | assessment goodness-of-fit reliability data data modeling Nikulin-Rao-Robson validation |
| url | https://www.mdpi.com/2227-7390/11/6/1308 |
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