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

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

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Article ID: iaor201112547
Volume: 38
Issue: 2
Start Page Number: 252
End Page Number: 267
Publication Date: Jun 2011
Journal: Scandinavian Journal of Statistics
Authors:
Keywords: statistics: decision, statistics: inference
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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