Skip Navigation



Biometrika Advance Access published online on June 24, 2009
Biometrika, doi:10.1093/biomet/asp026
This Article
Right arrow Full Text
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
96/3/601    most recent
asp026v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Tsai, W. Y.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2009 Biometrika Trust

Article

Pseudo-partial likelihood for proportional hazards models with biased-sampling data

Wei Yann Tsai

Department of Biostatistics, Columbia University, New York, New York 10032, U.S.A. wt5{at}columbia.edu

Received for publication 1 July 2006. Revision received 1 November 2008.
  Abstract

We obtain a pseudo-partial likelihood for proportional hazards models with biased-sampling data by embedding the biased-sampling data into left-truncated data. The log pseudo-partial likelihood of the biased-sampling data is the expectation of the log partial likelihood of the left-truncated data conditioned on the observed data. In addition, asymptotic properties of the estimator that maximize the pseudo-partial likelihood are derived. Applications to length-biased data, biased samples with right censoring and proportional hazards models with missing covariates are discussed.

Key Words: EM Algorithm • Left truncation • Length-biased data • Missing covariate • Right censoring


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?


This article has been cited by other articles:


Home page
 BiometrikaHome page
X. Luo and W. Y. Tsai
Nonparametric estimation for right-censored length-biased data: a pseudo-partial likelihood approach
Biometrika, December 1, 2009; 96(4): 873 - 886.
[Abstract] [PDF]

Home page
 BiometrikaHome page
X. Luo, W. Y. Tsai, and Q. Xu
Pseudo-partial likelihood estimators for the Cox regression model with missing covariates
Biometrika, September 1, 2009; 96(3): 617 - 633.
[Abstract] [PDF]


Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.