IDEAS home Printed from https://ideas.repec.org/a/bpj/ijbist/v20y2024i2p531-551n1018.html
   My bibliography  Save this article

The survival function NPMLE for combined right-censored and length-biased right-censored failure time data: properties and applications

Author

Listed:
  • McVittie James H.

    (Department of Mathematics and Statistics, 6846 University of Regina , Regina, Saskatchewan, S4S 0A2, Canada)

  • Wolfson David B.

    (Department of Mathematics and Statistics, 5620 McGill University , Montreal, QC, H3A 0G4, Canada)

  • Stephens David A.

    (Department of Mathematics and Statistics, 5620 McGill University , Montreal, QC, H3A 0G4, Canada)

Abstract

Many cohort studies in survival analysis have imbedded in them subcohorts consisting of incident cases and prevalent cases. Instead of analysing the data from the incident and prevalent cohorts alone, there are surely advantages to combining the data from these two subcohorts. In this paper, we discuss a survival function nonparametric maximum likelihood estimator (NPMLE) using both length-biased right-censored prevalent cohort data and right-censored incident cohort data. We establish the asymptotic properties of the survival function NPMLE and utilize the NPMLE to estimate the distribution for time spent in a Montreal area hospital.

Suggested Citation

  • McVittie James H. & Wolfson David B. & Stephens David A., 2024. "The survival function NPMLE for combined right-censored and length-biased right-censored failure time data: properties and applications," The International Journal of Biostatistics, De Gruyter, vol. 20(2), pages 531-551.
    • Handle: RePEc:bpj:ijbist:v:20:y:2024:i:2:p:531-551:n:1018
    DOI: 10.1515/ijb-2023-0121
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/ijb-2023-0121
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.1515/ijb-2023-0121?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.

    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:bpj:ijbist:v:20:y:2024:i:2:p:531-551:n:1018. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.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.