Bayes linear kinematics in the analysis of failure rates and failure time distributions

Kevin Wilson, Malcolm Farrow

Research output: Contribution to journalArticle

5 Citations (Scopus)
100 Downloads (Pure)

Abstract

Collections of related Poisson or binomial counts arise, for example, from a number of different failures in similar machines or neighbouring time periods. A conventional Bayesian analysis requires a rather indirect 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 failure times.
Original languageEnglish
Pages (from-to)309-321
Number of pages13
JournalProceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability
Volume224
Issue number4
DOIs
Publication statusPublished - 1 Dec 2010

    Fingerprint

Keywords

  • linear kinematics
  • bayesian analysis
  • bayes linear methods
  • count data
  • failure times

Cite this