IDEAS home Printed from https://ideas.repec.org/a/bla/scjsta/v35y2008i2p193-211.html
   My bibliography  Save this article

Non‐parametric Estimation of a Survival Function with Two‐stage Design Studies

Author

Listed:
  • GANG LI
  • CHI‐HONG TSENG

Abstract

. The two‐stage design is popular in epidemiology studies and clinical trials due to its cost effectiveness. Typically, the first stage sample contains cheaper and possibly biased information, while the second stage validation sample consists of a subset of subjects with accurate and complete information. In this paper, we study estimation of a survival function with right‐censored survival data from a two‐stage design. A non‐parametric estimator is derived by combining data from both stages. We also study its large sample properties and derive pointwise and simultaneous confidence intervals for the survival function. The proposed estimator effectively reduces the variance and finite‐sample bias of the Kaplan–Meier estimator solely based on the second stage validation sample. Finally, we apply our method to a real data set from a medical device postmarketing surveillance study.

Suggested Citation

  • Gang Li & Chi‐Hong Tseng, 2008. "Non‐parametric Estimation of a Survival Function with Two‐stage Design Studies," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 35(2), pages 193-211, June.
    • Handle: RePEc:bla:scjsta:v:35:y:2008:i:2:p:193-211
    DOI: 10.1111/j.1467-9469.2007.00581.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-9469.2007.00581.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1467-9469.2007.00581.x?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
    ---><---

    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:scjsta:v:35:y:2008:i:2:p:193-211. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0303-6898 .

    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.