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Additive hazards quantile model

Author

Listed:
  • N. Unnikrishnan Nair

    (Cochin University of Science and Technology)

  • S. M. Sunoj

    (Cochin University of Science and Technology)

  • Namitha Suresh

    (Cochin University of Science and Technology)

Abstract

Even though the proportional hazards model has been used extensively in reliability and survival analysis, it often fails to satisfy the basic assumptions wherein additive hazard model is a good alternative. Unlike the distribution function, quantile function are of efficient alternatives in the modelling and analysis of lifetime data. Motivated by these, in the present study we introduce an additive hazards quantile model and study its various properties and applications. The proposed model possess some interesting properties that are not shared by its distribution function counterpart. We also present a class of distributions with quadratic hazard quantile function and examine its usefulness through real-life examples.

Suggested Citation

  • N. Unnikrishnan Nair & S. M. Sunoj & Namitha Suresh, 2024. "Additive hazards quantile model," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 87(4), pages 449-469, May.
    • Handle: RePEc:spr:metrik:v:87:y:2024:i:4:d:10.1007_s00184-023-00924-2
    DOI: 10.1007/s00184-023-00924-2
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    References listed on IDEAS

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    1. Wanxing Li & Xiaoming Xue & Yonghong Long, 2017. "An additive subdistribution hazard model for competing risks data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(23), pages 11667-11687, December.
    2. N. Nair & P. Sankaran, 2012. "Some results on an additive hazards model," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 75(3), pages 389-402, April.
    3. N.N. Midhu & P.G. Sankaran & N. Unnikrishnan Nair, 2014. "A Class of Distributions with Linear Hazard Quantile Function," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(17), pages 3674-3689, September.
    4. Udo Kamps, 1991. "A general recurrence relation for moments of order statistics in a class of probability distributions and characterizations," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 38(1), pages 215-225, December.
    5. Mark Bebbington & Chin‐Diew Lai & Ričardas Zitikis, 2008. "Reduction in mean residual life in the presence of a constant competing risk," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 24(1), pages 51-63, January.
    6. P. G. Sankaran & M. Dileep Kumar, 2019. "A class of distributions with the quadratic mean residual quantile function," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(19), pages 4936-4957, October.
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