Modified outlier diagnostics for the extended exponential regression model with interval and right-censored data

Jayanthi Arasan and Habshah Midi

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 7, 1991-2004

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.

Date: 2025
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DOI: 10.1080/03610926.2024.2354814

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