Applying the imprecise Dirichlet model in cases with partial observations and dependencies in failure data

Troffaes, Matthias; Coolen, Frank

doi:10.1016/j.ijar.2008.03.013

Applying the imprecise Dirichlet model in cases with partial observations and dependencies in failure data

Troffaes, Matthias; Coolen, Frank

Authors

Professor Matthias Troffaes matthias.troffaes@durham.ac.uk
Professor

Professor Frank Coolen frank.coolen@durham.ac.uk
Professor

Abstract

Imprecise probabilistic methods in reliability provide exciting opportunities for dealing with partial observations and incomplete knowledge on dependencies in failure data. In this paper, we explore the use of the imprecise Dirichlet model for dealing with such information, and we derive both exact results and bounds which enable analytical investigations. However, we only consider a very basic two-component system, as analytical solutions for larger systems will become very complex. We explain how the results are related to similar analyses under data selection or reporting bias, and we discuss some challenges for future research.

Citation

Troffaes, M., & Coolen, F. (2009). Applying the imprecise Dirichlet model in cases with partial observations and dependencies in failure data. International Journal of Approximate Reasoning: Uncertainty in Intelligent Systems, 50(2), 257-268. https://doi.org/10.1016/j.ijar.2008.03.013

Journal Article Type	Article
Publication Date	Feb 1, 2009
Deposit Date	Jun 19, 2009
Publicly Available Date	Oct 17, 2014
Journal	International Journal of Approximate Reasoning
Print ISSN	0888-613X
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	50
Issue	2
Pages	257-268
DOI	https://doi.org/10.1016/j.ijar.2008.03.013
Keywords	Imprecise Dirichlet model, Independence, Selection bias, Partial observations, Bayesian inference, Robustness.

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Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in International Journal of Approximate Reasoning. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Journal of Approximate Reasoning, 50, 2, 2009, 10.1016/j.ijar.2008.03.013.