Faculty Publications

Nonparametric Estimation From Proportional Hazards Competing Risks Data Under Selection Bias

Document Type

Article

Keywords

Brownian motion, Cross-sectional sampling, Gateaux-differential process, Length bias, Martingale representation, Stochastic integral, Weak convergence

Journal/Book/Conference Title

Journal of Nonparametric Statistics

Volume

17

Issue

6

First Page

717

Last Page

731

Abstract

In many practical situations, such as cross-sectional sampling, the observed random sample suffers from selection bias in the sense that it does not represent the target population. This paper considers the problem of estimating the target survivor function when the data for two independent competing risks having proportional hazards is observed under such a selection bias. The large sample behavior of the proposed estimator is studied through martingale representation and stochastic integrals. © 2005 Taylor & Francis Group Ltd.

Department

Department of Mathematics

Original Publication Date

9-1-2005

DOI of published version

10.1080/10485250500095694

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