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Lookup NU author(s): Dr Kevin Wilson,
Dr Malcolm Farrow
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Collections of related Poisson or binomial counts arise, for example, from numbers of failures insimilar machines or neighbouring time periods. A conventional Bayesian analysis requires a ratherindirect prior specification and intensive numerical methods for posterior evaluations.An alternative approach using Bayes linear kinematics in which simple conjugate specifications for individual counts are linked through a Bayes linear belief structure is presented. Intensive numerical methods are not required. The use of transformations of the binomial and Poisson parameters is proposed. The approach is illustrated in two examples, one involving a Poisson count of failures, the other involving a binomial count in an analysis of failuretimes.
Author(s): Wilson KJ, Farrow M
Publication type: Article
Publication status: Published
Journal: Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability
Print publication date: 01/12/2010
ISSN (print): 1748-006X
ISSN (electronic): 1748-0078
Publisher: Sage Publications
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