Modified outlier diagnostics for the extended exponential regression model with interval and right-censored data
Abstract.: This research will explore the modified outlier diagnostics for the exponentiated exponential regression (EER) model with interval and right-censored data using adjusted residuals and some influence diagnostic measures. The EER model accommodates a monotonically increasing and decreasing...
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2024
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my.upm.eprints.1152972025-02-28T02:48:23Z http://psasir.upm.edu.my/id/eprint/115297/ Modified outlier diagnostics for the extended exponential regression model with interval and right-censored data Arasan, Jayanthi Midi, Habshah Abstract.: This research will explore the modified outlier diagnostics for the exponentiated exponential regression (EER) model with interval and right-censored data using adjusted residuals and some influence diagnostic measures. The EER model accommodates a monotonically increasing and decreasing hazard rate and reduces to the exponential as a special case. The proposed diagnostics utilize the adjusted residuals based on the bias-corrected bootstrap harmonic mean with random imputation and the measure of curvature. A simulation study is conducted to assess the performances of different methods at various sample sizes, contamination levels, and censoring proportions. The results indicate that the adjusted Cox-Snell residual, martingale residual, and dmax work best to detect outliers in a data set. Finally, the proposed methods are applied to a data set from the Diabetic Retinopathy (DRS) study. Taylor and Francis 2024-05-24 Article PeerReviewed Arasan, Jayanthi and Midi, Habshah (2024) Modified outlier diagnostics for the extended exponential regression model with interval and right-censored data. Communications in Statistics - Theory and Methods, 54 (7). pp. 1991-2004. ISSN 0361-0926; eISSN: 1532-415X https://www.tandfonline.com/doi/full/10.1080/03610926.2024.2354814 10.1080/03610926.2024.2354814 |
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Abstract.: This research will explore the modified outlier diagnostics for the exponentiated exponential regression (EER) model with interval and right-censored data using adjusted residuals and some influence diagnostic measures. The EER model accommodates a monotonically increasing and decreasing hazard rate and reduces to the exponential as a special case. The proposed diagnostics utilize the adjusted residuals based on the bias-corrected bootstrap harmonic mean with random imputation and the measure of curvature. A simulation study is conducted to assess the performances of different methods at various sample sizes, contamination levels, and censoring proportions. The results indicate that the adjusted Cox-Snell residual, martingale residual, and dmax work best to detect outliers in a data set. Finally, the proposed methods are applied to a data set from the Diabetic Retinopathy (DRS) study. |
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Arasan, Jayanthi Midi, Habshah |
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Arasan, Jayanthi Midi, Habshah Modified outlier diagnostics for the extended exponential regression model with interval and right-censored data |
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Arasan, Jayanthi Midi, Habshah |
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Arasan, Jayanthi |
title |
Modified outlier diagnostics for the extended exponential regression model with interval and right-censored data |
title_short |
Modified outlier diagnostics for the extended exponential regression model with interval and right-censored data |
title_full |
Modified outlier diagnostics for the extended exponential regression model with interval and right-censored data |
title_fullStr |
Modified outlier diagnostics for the extended exponential regression model with interval and right-censored data |
title_full_unstemmed |
Modified outlier diagnostics for the extended exponential regression model with interval and right-censored data |
title_sort |
modified outlier diagnostics for the extended exponential regression model with interval and right-censored data |
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Taylor and Francis |
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2024 |
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http://psasir.upm.edu.my/id/eprint/115297/ https://www.tandfonline.com/doi/full/10.1080/03610926.2024.2354814 |
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