IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v14y1992i4p313-320.html
   My bibliography  Save this article

Strong consistency under the Koziol--Green model

Author

Listed:
  • Stute, Winfried

Abstract

In the Koziol--Green proportional hazards model one assumes that the lifetime distribution F and the censoring distribution G satisfy 1 -- G = (1 -- F)[beta]. Let Fn denote the nonparametric MLE of F. We show that for any integrable function \gf, [integral operator]\gf dFn --> [integral operator]\gf dF w.p. 1. This result may be applied to yield consistency of many estimators. In a small sample simulation study it is demonstrated that [integral operator]\gf dFn outperforms [integral operator]\gf dn, where n is the Kaplan--Meier estimate of F.

Suggested Citation

  • Stute, Winfried, 1992. "Strong consistency under the Koziol--Green model," Statistics & Probability Letters, Elsevier, vol. 14(4), pages 313-320, July.
    • Handle: RePEc:eee:stapro:v:14:y:1992:i:4:p:313-320
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0167-7152(92)90064-C
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

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

    Citations

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


    Cited by:

    1. Uña-Álvarez, Jacobo de & González-Manteiga, Wenceslao, 1999. "Strong consistency under proportional censorship when covariables are present," Statistics & Probability Letters, Elsevier, vol. 42(3), pages 283-292, April.
    2. Uttam Bandyopadhyay & Atanu Biswas & Rahul Bhattacharya, 2010. "A covariate‐adjusted adaptive design for two‐stage clinical trials with survival data," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 64(2), pages 202-226, May.
    3. de Uña-Álvarez, Jacobo & González-Manteiga, Wenceslao, 1998. "Distributional convergence under proportional censorship when covariables are present," Statistics & Probability Letters, Elsevier, vol. 39(4), pages 305-315, August.
    4. Kirmani, Syed N. U. A. & Dauxois, Jean-Yves, 2004. "Testing the Koziol-Green model against monotone conditional odds for censoring," Statistics & Probability Letters, Elsevier, vol. 66(3), pages 327-334, February.
    5. Zheng, Gang & Gastwirth, Joseph L., 2001. "On the Fisher information in randomly censored data," Statistics & Probability Letters, Elsevier, vol. 52(4), pages 421-426, May.

    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:eee:stapro:v:14:y:1992:i:4:p:313-320. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.