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A local likelihood proportional hazards model for interval censored data

Statistics in MedicinePublished 21 December 2001
Rebecca A. Betensky, Jane C. Lindsey, Louise Ryan, M. P. Wand
Citations74
SJR quartileQ1
SJR score1.27
SNIP1.33

TL;DR

The use of local likelihood methods to fit proportional hazards regression models to right and interval censored data and extends the modified EM algorithm suggested by Betensky, Lindsey, Ryan and Wand for estimation.

Abstract

We discuss the use of local likelihood methods to fit proportional hazards regression models to right and interval censored data. The assumed model allows for an arbitrary, smoothed baseline hazard on which a vector of covariates operates in a proportional manner, and thus produces an interpretable baseline hazard function along with estimates of global covariate effects. For estimation, we extend the modified EM algorithm suggested by Betensky, Lindsey, Ryan and Wand. We illustrate the method with data on times to deterioration of breast cosmeses and HIV-1 infection rates among haemophiliacs.

Keywords

Mathematics