Reconciliation of subjective probabilities and frequencies in forensic science

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State: Public
Version: Author's accepted manuscript
Serval ID
serval:BIB_C88175D634BF
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Reconciliation of subjective probabilities and frequencies in forensic science
Journal
Law, Probability and Risk
Author(s)
Taroni Franco, Garbolino Paolo, Biedermann Alex, Aitken Colin, Bozza Silvia
ISSN
1470-8396
Publication state
Published
Issued date
03/09/2018
Peer-reviewed
Oui
Volume
17
Number
3
Pages
243-262
Language
english
Abstract
There is a continuous flow of articles published in legal and scientific journals that recite outworn direct or subtle attacks on Bayesian reasoning and/or the use of the subjective or personalistic interpretation of probability. An example is the recent paper written by Kaplan et al. (2016), who, by referring to Kafadar’s review paper (2015), opined, but did not justify, that there is a ‘… need to reduce subjectivity in the evaluation of forensic science’ and argued that ‘… the view presented here supports the use of objective probabilities’ (Kaplan et al., 2016). To understand why the objection on the use of subjective probability is not persuasive and why the widely claimed objective probabilities do not exist, one must first scrutinize the historically competing interpretations of probability and their associated definitions. The basis of the defence of the use of the subjectivist interpretation of probability is the understanding of the simple points, misunderstood by critics, that subjectivity is not a synonym for arbitrariness and that the implementation of subjectivism does not neglect the use of the acquired knowledge that is often available in terms of relative frequencies. We will illustrate these points by reference to practical applications in forensic science where probabilities are often represented by relative frequencies. In this regard, our discussion clarifies the connection and the distinction between probabilities and frequencies. Specifically, we emphasize that probability is an expression of our personal belief, an interpretation not to be equated with relative frequency as a mere summary of data. Our argument reveals the inappropriateness of attempts to interpret relative frequencies as probabilities, and naturally solves common problems that derive from such attempts. Further we emphasize that, despite the fact that they can be given an explicit role in probability assignments, neither are relative frequencies a necessary condition for such assignments nor, in forensic applications that consider events for which probabilities need to be specified, need they be meaningfully conceptualized in a frequentist perspective.
Keywords
Probability, Frequency, Degree of belief, Exchangeability
Create date
19/09/2018 6:08
Last modification date
20/08/2019 16:43
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