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Buckley–James Type Estimator for Censored Data with Covariates Missing by Design

Authors


Menggang Yu, Department of Medicine, Indiana University, Indianapolis, IN 46202, USA.
E-mail: meyu@iupui.edu

Abstract

Abstract.  The Buckley–James estimator (BJE) is a well-known estimator for linear regression models with censored data. Ritov has generalized the BJE to a semiparametric setting and demonstrated that his class of Buckley–James type estimators is asymptotically equivalent to the class of rank-based estimators proposed by Tsiatis. In this article, we revisit such relationship in censored data with covariates missing by design. By exploring a similar relationship between our proposed class of Buckley–James type estimating functions to the class of rank-based estimating functions recently generalized by Nan, Kalbfleisch and Yu, we establish asymptotic properties of our proposed estimators. We also conduct numerical studies to compare asymptotic efficiencies from various estimators.

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