Influence diagnostics in Log-Logistic regression model with censored data
Log-Logistic regression model arise in several areas of application. Traditional estimation methods for Log-Logistic regression model are sensitive to influential observations. Such bizarre observations can isolate analysis and lead to incorrect conclusions and actions. We suggest local influence di...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-03-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016821004580 |
| _version_ | 1818488881881808896 |
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| author | Javeria Khaleeq Muhammad Amanullah Alanazi Talal Abdulrahman E.H. Hafez M.M.Abd El-Raouf |
| author_facet | Javeria Khaleeq Muhammad Amanullah Alanazi Talal Abdulrahman E.H. Hafez M.M.Abd El-Raouf |
| author_sort | Javeria Khaleeq |
| collection | DOAJ |
| description | Log-Logistic regression model arise in several areas of application. Traditional estimation methods for Log-Logistic regression model are sensitive to influential observations. Such bizarre observations can isolate analysis and lead to incorrect conclusions and actions. We suggest local influence diagnostics for identifying unusual observations in Log-Logistic regression model with censored data. The diagnostic methods under the perturbation scheme of case weight, explanatory and response variables are derived. Computational statistical measures are proposed that make the procedures practicable. Moreover, Generalized Cook’s distance and One-step Newton-Raphson method are also studied. Finally, a real data set and simulation study is presented. The results of illustrative example and simulation scheme clearly reveal that the proposed diagnostic methods under normal curvature perform better than others. |
| first_indexed | 2024-12-10T16:56:49Z |
| format | Article |
| id | doaj.art-1e2e21f74f1f437c98f9f937b2f5aeb6 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-10T16:56:49Z |
| publishDate | 2022-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-1e2e21f74f1f437c98f9f937b2f5aeb62022-12-22T01:40:41ZengElsevierAlexandria Engineering Journal1110-01682022-03-0161322302241Influence diagnostics in Log-Logistic regression model with censored dataJaveria Khaleeq0Muhammad Amanullah1Alanazi Talal Abdulrahman2E.H. Hafez3M.M.Abd El-Raouf4Department of Statistics, Bahauddin Zakariya University, Multan 60800, Pakistan; Corresponding author.Department of Statistics, Bahauddin Zakariya University, Multan 60800, PakistanDepartment of Mathematics, College of Science University of Ha'il, Saudi ArabiaDepartment of Mathematics, Faculty of Science Helwan University, EgyptBasic and Applied Sciences Institute, Arab Academy for Science, Technology and Maritime Transport (AASTMT), EgyptLog-Logistic regression model arise in several areas of application. Traditional estimation methods for Log-Logistic regression model are sensitive to influential observations. Such bizarre observations can isolate analysis and lead to incorrect conclusions and actions. We suggest local influence diagnostics for identifying unusual observations in Log-Logistic regression model with censored data. The diagnostic methods under the perturbation scheme of case weight, explanatory and response variables are derived. Computational statistical measures are proposed that make the procedures practicable. Moreover, Generalized Cook’s distance and One-step Newton-Raphson method are also studied. Finally, a real data set and simulation study is presented. The results of illustrative example and simulation scheme clearly reveal that the proposed diagnostic methods under normal curvature perform better than others.http://www.sciencedirect.com/science/article/pii/S1110016821004580Log-Logistic distributionCensoringGeneralized Cook’s DistanceLocal influencePerturbation |
| spellingShingle | Javeria Khaleeq Muhammad Amanullah Alanazi Talal Abdulrahman E.H. Hafez M.M.Abd El-Raouf Influence diagnostics in Log-Logistic regression model with censored data Alexandria Engineering Journal Log-Logistic distribution Censoring Generalized Cook’s Distance Local influence Perturbation |
| title | Influence diagnostics in Log-Logistic regression model with censored data |
| title_full | Influence diagnostics in Log-Logistic regression model with censored data |
| title_fullStr | Influence diagnostics in Log-Logistic regression model with censored data |
| title_full_unstemmed | Influence diagnostics in Log-Logistic regression model with censored data |
| title_short | Influence diagnostics in Log-Logistic regression model with censored data |
| title_sort | influence diagnostics in log logistic regression model with censored data |
| topic | Log-Logistic distribution Censoring Generalized Cook’s Distance Local influence Perturbation |
| url | http://www.sciencedirect.com/science/article/pii/S1110016821004580 |
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