IDEAS home Printed from https://ideas.repec.org/a/bla/stanee/v78y2024i3p478-484.html
   My bibliography  Save this article

Generalized k‐variate proportional hazard function for censored survival data

Author

Listed:
  • Hilmi Fadel Kittani

Abstract

This note develops a generalized k$$ k $$‐variate hazard function for censored data in survival analysis. It introduces a generalized recursive formula, extending the bivariate and trivariate cases introduced by Clayton and Cuzick (1985, Journal of the Royal Statistical Society: Series A (General), 148(2):82–108) and Kittani (1995, Journal of Mathematical Sciences, 67–74), respectively. The newly developed function is explicitly specified by k$$ k $$ association parameters and k$$ k $$ marginal hazard functions.

Suggested Citation

  • Hilmi Fadel Kittani, 2024. "Generalized k‐variate proportional hazard function for censored survival data," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 78(3), pages 478-484, August.
    • Handle: RePEc:bla:stanee:v:78:y:2024:i:3:p:478-484
    DOI: 10.1111/stan.12327
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/stan.12327
    Download Restriction: no
    File URL: https://libkey.io/10.1111/stan.12327?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
    ---><---

    References listed on IDEAS

    as
    1. R. Kay, 1977. "Proportional Hazard Regression Models and the Analysis of Censored Survival Data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(3), pages 227-237, November.
    2. Peter C. Austin, 2017. "A Tutorial on Multilevel Survival Analysis: Methods, Models and Applications," International Statistical Review, International Statistical Institute, vol. 85(2), pages 185-203, August.
    3. Pan, Xiao-Rong & Zhou, Mai, 2002. "Empirical Likelihood Ratio in Terms of Cumulative Hazard Function for Censored Data," Journal of Multivariate Analysis, Elsevier, vol. 80(1), pages 166-188, January.
    4. Tianxi Cai & Rebecca A. Betensky, 2003. "Hazard Regression for Interval-Censored Data with Penalized Spline," Biometrics, The International Biometric Society, vol. 59(3), pages 570-579, September.
    5. P. Holmes & A. Hunt & I. Stone, 2010. "An analysis of new firm survival using a hazard function," Applied Economics, Taylor & Francis Journals, vol. 42(2), pages 185-195.
    Full references (including those not matched with items on IDEAS)

    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. Peter Nunnenkamp & Hannes Öhler & Tillmann Schwörer, 2011. "US based NGOs in International Development Cooperation: Survival of the Fittest?," Courant Research Centre: Poverty, Equity and Growth - Discussion Papers 83, Courant Research Centre PEG.
    2. Doan, Quang Hung & Vu, Hoang Nam & Dao, Ngoc Tien, 2013. "Sub-National Institutions and Firm Survival in Vietnam," MPRA Paper 63653, University Library of Munich, Germany.
    3. Iftikhar Ahmad & Izlin Ismail & Shahrin Saaid Shaharuddin, 2021. "Predictive Role of Ex Ante Strategic Firm Characteristics for Sustainable Initial Public Offering (IPO) Survival," Sustainability, MDPI, vol. 13(14), pages 1-26, July.
    4. Joana Afonso & Isabel Mota & Sandra Silva, 2012. "Micro Credit and Territory: Portugal as a case study," Notas Económicas, Faculty of Economics, University of Coimbra, issue 35, pages 40-58, June.
    5. Enrique Batiz‐Zuk & Fabrizio López‐Gallo & Abdulkadir Mohamed & Fátima Sánchez‐Cajal, 2022. "Determinants of loan survival rates for small and medium‐sized enterprises: Evidence from an emerging economy," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 27(4), pages 4741-4755, October.
    6. Guidi, Francesco & Solomon, Edna & Trushin, Eshref & Ugur, Mehmet, 2015. "Inverted-U relationship between innovation and survival: Evidence from firm-level UK data," EconStor Preprints 110896, ZBW - Leibniz Information Centre for Economics.
    7. Víctor Manuel Bellido‐Jiménez & Domingo Martín‐Martín & Isidoro Romero, 2021. "The survival of new businesses in Andalusia (Spain): Impact of urbanization, education, and gender," Regional Science Policy & Practice, Wiley Blackwell, vol. 13(1), pages 25-41, February.
    8. Pao-sheng Shen, 2013. "Regression analysis of interval censored and doubly truncated data with linear transformation models," Computational Statistics, Springer, vol. 28(2), pages 581-596, April.
    9. Judith H. Parkinson, 2020. "Combined multiple testing of multivariate survival times by censored empirical likelihood," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 47(3), pages 757-786, September.
    10. Ying Zhang & Lei Hua & Jian Huang, 2010. "A Spline‐Based Semiparametric Maximum Likelihood Estimation Method for the Cox Model with Interval‐Censored Data," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 37(2), pages 338-354, June.
    11. Faustino Prieto & Jos'e Mar'ia Sarabia & Enrique Calder'in-Ojeda, 2020. "The risk of death in newborn businesses during the first years in market," Papers 2011.11776, arXiv.org.
    12. Raffaele Fiorentino & Sergio Longobardi & Carla Morrone & Alessandro Scaletti, 2024. "Educational heterogeneity of the founding team of innovative start-ups: confirmations and denials," International Entrepreneurship and Management Journal, Springer, vol. 20(3), pages 2347-2367, September.
    13. Salvador Vivas-López & Francisco Puig & Victor Oltra & Miguel González-Loureiro, 2016. "Globalized Markets and Startup Dynamics in Mature Manufacturing Industries," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 7(4), pages 947-962, December.
    14. Belval, Erin J. & Bayham, Jude & Magstadt, Shayne, 2024. "Retention of highly qualified wildland firefighters in the Western United States," Forest Policy and Economics, Elsevier, vol. 158(C).
    15. Lee, Hyoungjin & Chung, Chris Changwha & Beamish, Paul W., 2019. "Configurational characteristics of mandate portfolios and their impact on foreign subsidiary survival," Journal of World Business, Elsevier, vol. 54(5), pages 1-1.
    16. Prabhashi W. Withana Gamage & Christopher S. McMahan & Lianming Wang, 2023. "A flexible parametric approach for analyzing arbitrarily censored data that are potentially subject to left truncation under the proportional hazards model," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 29(1), pages 188-212, January.
    17. Kauermann, Goran & Xu, Ronghui & Vaida, Florin, 2008. "Stacked Laplace-EM algorithm for duration models with time-varying and random effects," Computational Statistics & Data Analysis, Elsevier, vol. 52(5), pages 2514-2528, January.
    18. Yunmi Kim & Hyun-Young Kim, 2021. "Retention Rates and the Associated Risk Factors of Turnover among Newly Hired Nurses at South Korean Hospitals: A Retrospective Cohort Study," IJERPH, MDPI, vol. 18(19), pages 1-14, September.
    19. repec:ilo:ilowps:292067 is not listed on IDEAS
    20. Guimarães Barbosa, Evaldo, 2016. "External determinants of small business survival – The overwhelming impact of GDP and other environmental factors and a new proposed framework," MPRA Paper 73346, University Library of Munich, Germany.
    21. Paul Brenton & Christian Saborowski & Erik von Uexkull, 2014. "What Explains the Low Survival Rate of Developing Country Export Flows?," World Scientific Book Chapters, in: INTERNATIONAL TRADE, DISTRIBUTION AND DEVELOPMENT Empirical Studies of Trade Policies, chapter 17, pages 347-372, World Scientific Publishing Co. Pte. Ltd..

    More about this item

    Statistics

    Access and download statistics

    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:bla:stanee:v:78:y:2024:i:3:p:478-484. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0039-0402 .

    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.