Nonparametric estimation for right-censored length-biased data: a pseudo-partial likelihood approach

Xiaodong Luo and Wei Yann Tsai

Biometrika, 2009, vol. 96, issue 4, 873-886

Abstract: To estimate the lifetime distribution of right-censored length-biased data, we propose a pseudo-partial likelihood approach that allows us to derive two nonparametric estimators. With its closed-form estimators and explicit limiting variances, this approach retains the simplicity of conditional analysis, and has only a small efficiency loss compared with the unconditional analysis. Under some regularity conditions, we show that the two estimators are uniformly consistent and converge weakly to Gaussian processes. A simulation study demonstrates that the proposed estimators have satisfactory finite-sample performance. Application to an Alzheimer's disease study is reported. Copyright 2009, Oxford University Press.

Date: 2009
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