IDEAS home Printed from https://ideas.repec.org/a/spr/stmapp/v31y2022i3d10.1007_s10260-021-00583-5.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10260-021-00583-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10260-021-00583-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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. 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.
    3. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

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

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Antonio Di Crescenzo & Abdolsaeed Toomaj, 2022. "Weighted Mean Inactivity Time Function with Applications," Mathematics, MDPI, vol. 10(16), pages 1-30, August.
    2. Paulo Oliveira & Nuria Torrado, 2015. "On proportional reversed failure rate class," Statistical Papers, Springer, vol. 56(4), pages 999-1013, November.
    3. Athanasios Sachlas & Takis Papaioannou, 2014. "Residual and Past Entropy in Actuarial Science and Survival Models," Methodology and Computing in Applied Probability, Springer, vol. 16(1), pages 79-99, March.
    4. Célestin C. Kokonendji & Aboubacar Y. Touré & Rahma Abid, 2022. "On General Exponential Weight Functions and Variation Phenomenon," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 924-940, August.
    5. Wild, Phillip, 2017. "Determining commercially viable two-way and one-way ‘Contract-for-Difference’ strike prices and revenue receipts," Energy Policy, Elsevier, vol. 110(C), pages 191-201.
    6. Freddy Hernández & Viviana Giampaoli, 2018. "The Impact of Misspecified Random Effect Distribution in a Weibull Regression Mixed Model," Stats, MDPI, vol. 1(1), pages 1-29, May.
    7. Küfeoğlu, Sinan & Pollitt, Michael G., 2019. "The impact of PVs and EVs on domestic electricity network charges: A case study from Great Britain," Energy Policy, Elsevier, vol. 127(C), pages 412-424.
    8. Kumar, Anjani & Saroj, Sunil & Joshi, P.K. & Takeshima, Hiroyuki, 2018. "Does cooperative membership improve household welfare? Evidence from a panel data analysis of smallholder dairy farmers in Bihar, India," Food Policy, Elsevier, vol. 75(C), pages 24-36.
    9. Subrata Chakraborty & Laba Handique & Rana Muhammad Usman, 2020. "A Simple Extension of Burr-III Distribution and Its Advantages over Existing Ones in Modelling Failure Time Data," Annals of Data Science, Springer, vol. 7(1), pages 17-31, March.
    10. Auster, Sarah & Kellner, Christian, 2022. "Robust bidding and revenue in descending price auctions," Journal of Economic Theory, Elsevier, vol. 199(C).
    11. Li, Xiaohu & Da, Gaofeng, 2010. "Stochastic comparisons in multivariate mixed model of proportional reversed hazard rate with applications," Journal of Multivariate Analysis, Elsevier, vol. 101(4), pages 1016-1025, April.
    12. Emilio Gómez-Déniz & Yuri A. Iriarte & Yolanda M. Gómez & Inmaculada Barranco-Chamorro & Héctor W. Gómez, 2021. "Statistical Inference for a General Family of Modified Exponentiated Distributions," Mathematics, MDPI, vol. 9(23), pages 1-18, November.
    13. Hazra, Nil Kamal & Kuiti, Mithu Rani & Finkelstein, Maxim & Nanda, Asok K., 2017. "On stochastic comparisons of maximum order statistics from the location-scale family of distributions," Journal of Multivariate Analysis, Elsevier, vol. 160(C), pages 31-41.
    14. Guimbeau, Amanda & Ji, Xinde James & Menon, Nidhiya & Rodgers, Yana van der Meulen, 2023. "Mining and women’s agency: Evidence on acceptance of domestic violence and shared decision-making in India," World Development, Elsevier, vol. 162(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:stmapp:v:31:y:2022:i:3:d:10.1007_s10260-021-00583-5. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.