title: Pseudo-partial likelihood for proportional hazards models with biased-sampling data.
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.
authors.affiliation: Department of Biostatistics ,  Columbia University ,  New York, New York 10032 ,  U.S.A. wt5@columbia.edu.
authors.forename: Wei Yann
authors.initials: WY
authors.lastname: Tsai