A New Accelerated Failure Time Model with Censored and Uncensored Real-life Applications: Validation and Different Estimation Methods

  • Mohamed Ibrahim Department of Quantitative Methods, School of Business, King Faisal University, Al Ahsa 31982, Saudi Arabia
  • Hafida Goual
  • Khaoula Kaouter Meribout
  • Abdullah H. Al-Nefaie
  • Ahmad M. AboAlkhair
  • Haitham M. Yousof

Abstract

This study introduces a novel exponential accelerated failure time (AFT) model, detailing its fundamental properties and characterizations. To evaluate the performance of various estimation techniques, we conduct simulation studies that assess the finite-sample behavior of the estimators. Additionally, we propose a modified chi-square goodnessof-fit test tailored for the new model, applicable to both complete and right-censored datasets. The model’s validity is examined using the theoretical framework of the Nikulin-Rao-Robson (NRR) statistic, with maximum likelihood estimation employed for parameter estimation. Two separate simulation studies are carried out: one to evaluate the proposed AFT model and another to assess the efficacy of the NRR test statistic. Furthermore, the practical applicability of the test statistic is demonstrated through analyses of three real-life datasets.
Published
2025-05-16
How to Cite
Mohamed Ibrahim, Hafida Goual, Khaoula Kaouter Meribout, Abdullah H. Al-Nefaie, Ahmad M. AboAlkhair, & Haitham M. Yousof. (2025). A New Accelerated Failure Time Model with Censored and Uncensored Real-life Applications: Validation and Different Estimation Methods. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2594
Section
Research Articles

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