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Local linear regression on correlated survival data

发布时间:2018年09月27日 15:18   浏览次数:
报告人 Prof Wenqing He 年月 201809
29

题目: Local linear regression on correlated survival data

报告人: Prof Wenqing He(University of Western Ontarrio, Canada

时间: 2018-9-29 09:50-10:30

地点: 数学学院西303报告厅

摘要:Correlated survival data arise in many contexts, and the regression analysis of

such data is often of interest in practice. We study a weighted local linear

regression method for the analysis of correlated censored data, which is a

natural extension of classical nonparametric regression that models directly

the effect of covariates on survival time, using an unknown smooth nonparametric

function. The estimation and inference are based on local linear regression and

a class of unbiased data transformations. The most important feature of the

proposed method is to weight local observations with local variance, which

is the key to improve the estimation efficiency. We derive the asymptotic

properties of the resulting estimator and show that the asymptotic variance

of the nonparametric estimator is minimized with the correct specification

of correlation structure. We evaluate the performance of the proposed method

using simulation studies, and illustrate the proposed method with an analysis

of data from the Busselton Health Study.

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