Lifetime Data Anal - Marginal hazard regression for correlated failure time data with auxiliary covariates.

Tópicos

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Resumo

In many biomedical studies, it is common that due to budget constraints, the primary covariate is only collected in a randomly selected subset from the full study cohort. Often, there is an inexpensive auxiliary covariate for the primary exposure variable that is readily available for all the cohort subjects. Valid statistical methods that make use of the auxiliary information to improve study efficiency need to be developed. To this end, we develop an estimated partial likelihood approach for correlated failure time data with auxiliary information. We assume a marginal hazard model with common baseline hazard function. The asymptotic properties for the proposed estimators are developed. The proof of the asymptotic results for the proposed estimators is nontrivial since the moments used in estimating equation are not martingale-based and the classical martingale theory is not sufficient. Instead, our proofs rely on modern empirical process theory. The proposed estimator is evaluated through simulation studies and is shown to have increased efficiency compared to existing methods. The proposed method is illustrated with a data set from the Framingham study.

Resumo Limpo

mani biomed studi common due budget constraint primari covari collect random select subset full studi cohort often inexpens auxiliari covari primari exposur variabl readili avail cohort subject valid statist method make use auxiliari inform improv studi effici need develop end develop estim partial likelihood approach correl failur time data auxiliari inform assum margin hazard model common baselin hazard function asymptot properti propos estim develop proof asymptot result propos estim nontrivi sinc moment use estim equat martingalebas classic martingal theori suffici instead proof reli modern empir process theori propos estim evalu simul studi shown increas effici compar exist method propos method illustr data set framingham studi

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