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A Cox-Aalen Model for Interval-censored Data

Audrey Boruvka and Richard J. Cook

Scandinavian Journal of Statistics, 2015, vol. 42, issue 2, 414-426

Abstract: type="main" xml:id="sjos12113-abs-0001"> The Cox-Aalen model, obtained by replacing the baseline hazard function in the well-known Cox model with a covariate-dependent Aalen model, allows for both fixed and dynamic covariate effects. In this paper, we examine maximum likelihood estimation for a Cox-Aalen model based on interval-censored failure times with fixed covariates. The resulting estimator globally converges to the truth slower than the parametric rate, but its finite-dimensional component is asymptotically efficient. Numerical studies show that estimation via a constrained Newton method performs well in terms of both finite sample properties and processing time for moderate-to-large samples with few covariates. We conclude with an application of the proposed methods to assess risk factors for disease progression in psoriatic arthritis.

Date: 2015
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