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Posterior distributions for likelihood ratios in forensic science

Van Den Hout, ADL; Alberink, I; (2016) Posterior distributions for likelihood ratios in forensic science. Science & Justice , 56 (5) 10.1016/j.scijus.2016.06.011. Green open access

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Abstract

Evaluation of evidence in forensic science is discussed using posterior distributions for likelihood ratios. Instead of eliminating the uncertainty by integrating (Bayes factor) or by conditioning on parameter values, uncertainty in the likelihood ratio is retained by parameter uncertainty derived from posterior distributions. A posterior distribution for a likelihood ratio can be summarised by the median and credible intervals. Using the posterior mean of the distribution is not recommended. An analysis of forensic data for body height estimation is undertaken. The posterior likelihood approach has been criticised both theoretically and with respect to applicability. This paper addresses the latter and illustrates an interesting application area.

Type: Article
Title: Posterior distributions for likelihood ratios in forensic science
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.scijus.2016.06.011
Publisher version: http://dx.doi.org/10.1016/j.scijus.2016.06.011
Language: English
Additional information: Copyright © 2016 The Chartered Society of Forensic Sciences. Published by Elsevier Ireland Ltd. All rights reserved. This manuscript version is made available under the CC-BY-NC-ND 4.0 license (http://creativecommons.org/licenses/by-nc-nd/4.0/). The published version of record is available at http://dx.doi.org/10.1016/j.scijus.2016.06.011
Keywords: Likelihood ratio, Bayes factor, Bayesian inference, Body height estimation, Posterior likelihood ratios, Precision, Reliability
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science
URI: https://discovery.ucl.ac.uk/id/eprint/1503604
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