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Lookup NU author(s): Professor Kevin Wilson, Dr Malcolm Farrow
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND).
Bayes linear kinematics and Bayes linear Bayes graphical models provide an extension of Bayes linear methods so that full conditional updates may be combined with Bayes linear belief adjustment. In this paper we investigate the application of this approach to survival analysis with time-dependent covariate effects, a more complicated problem than previous applications. We use a piecewise-constant hazard function with a prior in which covariate effects are correlated over time. The need for computationally intensive methods is avoided and the relatively simple structure facilitates interpretation. Our approach eliminates the problem of non-commutativity which was observed in earlier work by Gamerman. We apply the technique to data on survival times for leukemia patients.
Author(s): Wilson KJ, Farrow M
Publication type: Article
Publication status: Published
Journal: International Journal of Approximate Reasoning
Year: 2017
Volume: 80
Pages: 239-256
Print publication date: 01/01/2017
Online publication date: 28/09/2016
Acceptance date: 23/09/2016
Date deposited: 27/09/2016
ISSN (print): 0888-613X
ISSN (electronic): 1873-4731
Publisher: Elsevier
URL: http://dx.doi.org/10.1016/j.ijar.2016.09.010
DOI: 10.1016/j.ijar.2016.09.010
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