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On testing the fit of accelerated failure time and proportional hazard Weibull extension models

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Abstract

Characterized by three parameters, the Weibull extension distribution is introduced by Xie et al. as a generalization of the classical Weibull distribution. In this article, we are interested in the construction of modified chi-squared goodness-of-fit tests for both an accelerated failure time and Cox proportional hazards models with the Weibull extension distribution as the baseline distribution. We use the technique introduced by Bagdonavicius and Nikulin for right-censored samples. Besides an important simulation study, the obtained results are applied to illustrative examples from real data sets.

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Authors and Affiliations

  1. Laboratory of Probability and Statistics (LaPS), Badji Mokhtar University, BP12, Annaba, Algeria

    Nacira Seddik-Ameur & Wafa Treidi

Authors
  1. Nacira Seddik-Ameur
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  2. Wafa Treidi
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Correspondence to Nacira Seddik-Ameur.

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Seddik-Ameur, N., Treidi, W. On testing the fit of accelerated failure time and proportional hazard Weibull extension models. J Stat Theory Pract 12, 397–411 (2018). https://doi.org/10.1080/15598608.2017.1397568

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  • DOI: https://doi.org/10.1080/15598608.2017.1397568

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