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Generalized proportional reversed hazard rate distributions with application in medicine

Author

Listed:
  • Božidar V. Popović

    (Faculty of Science and Mathematics)

  • Ali İ. Genç

    (Cukurova University)

  • Filippo Domma

    (University of Calabria)

Abstract

Proportional reversed hazard rate distribution family plays an important role in the reliability and lifetime data modelling. In this manuscript this family of distributions is generalized in order to enhance its modelling capability. Considering a special case, we introduce the extended generalized exponential distribution. Its mathematical properties are also studied. New model is applied in fitting levels of TSH hormone and remission times of bladder cancer patients. We believe these results may attract applied statisticians especially those who are in charge with life time data analysis.

Suggested Citation

  • Božidar V. Popović & Ali İ. Genç & Filippo Domma, 2022. "Generalized proportional reversed hazard rate distributions with application in medicine," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(3), pages 459-480, September.
    • Handle: RePEc:spr:stmapp:v:31:y:2022:i:3:d:10.1007_s10260-021-00583-5
    DOI: 10.1007/s10260-021-00583-5
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    References listed on IDEAS

    as
    1. Ernesto Veres-Ferrer & Jose Pavía, 2014. "On the relationship between the reversed hazard rate and elasticity," Statistical Papers, Springer, vol. 55(2), pages 275-284, May.
    2. Filippo Domma & Francesca Condino & Božidar V. Popović, 2017. "A new generalized weighted Weibull distribution with decreasing, increasing, upside-down bathtub, N-shape and M-shape hazard rate," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(16), pages 2978-2993, December.
    3. P. Sankaran & V. Gleeja, 2008. "Proportional reversed hazard and frailty models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 68(3), pages 333-342, November.
    4. Gauss M. Cordeiro & Antonio E. Gomes & Cibele Q. da-Silva & Edwin M. M. Ortega, 2017. "A useful extension of the Burr III distribution," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-15, December.
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    Cited by:

    1. Chrys Caroni, 2022. "Regression Models for Lifetime Data: An Overview," Stats, MDPI, vol. 5(4), pages 1-11, December.

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