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A semi-parametric generalization of the Cox proportional hazards regression model: Inference and applications by Karthik Devarajan; Nader Ebrahimi is a Mathematics article available to read on EtoBox.

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The assumption of proportional hazards (PH) fundamental to the Cox PH model sometimes may not hold in practice. In this paper, we propose a generalization of the Cox PH model in terms of the cumulative hazard function taking a form similar to the Cox PH model, with the extension that the baseline cumulative hazard function is raised to a power function. Our model allows for interaction between covariates and the baseline hazard and it also includes, for the two sample problem, the case of two Weibull distributions and two extreme value distributions differing in both scale and shape parameters. The partial likelihood approach can not be applied here to estimate the model parameters. We use the full likelihood approach via a cubic B-spline approximation for the baseline hazard to estimate the model parameters. A semi-automatic procedure for knot selection based on Akaike's information criterion is developed. We illustrate the applicability of our approach using real-life data.

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Author

Karthik Devarajan; Nader Ebrahimi

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0167-9473)

Published

2011

Language

EN

Field

Mathematics (Physical Sciences)