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Lessons from the New Evidence Scholarship

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Maximum Entropy and Bayesian Methods

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 62))

Abstract

There has been much debate on whether Bayesian probabilistic analysis of legal disputes can improve court decision-making. In this paper we ask what Bayesians can learn from problems faced by the courts.

Though debate continues, the Bayesian approach is clearly right for analysing those clearly definable and quantifiable problems which arise in forensic science. When we attempt to generalise and apply these techniques to other forms of evidence some fundamental difficulties arise. Typically there are two responses. The statisticians respond by redefining the question so that it can be answered using orthodox frequentist techniques. Alternatively, some lawyers respond that the evidence should be treated ‘holistically’. The problems are difficult and are general to real life decision-making but only Bayesian probability theory offers an approach for analysing and eventually overcoming them.

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References

  1. Case. R v Abadom. All England Reports, 1: 364–369, 1983.

    Google Scholar 

  2. K A J Walsh J S Buckleton and Ian Evett. Who is ‘random man’? Journal of the Forensic Science Society, 31 (4): 463–468, 1991.

    Article  Google Scholar 

  3. Mary P Watson. Decision and inference in litigation. Cardozo Law Review, 13(23):253–1079, November 1991.

    Google Scholar 

  4. Case. People v Castro 545 New York Supplement 985 (SC/NY).

    Google Scholar 

  5. Richard Eggleston. Evidence, Proof and Probability. Law in Context. Weidenfeld and Nicolson, London, 2nd edition, 1983.

    Google Scholar 

  6. Ian Evett. A Bayesian approach to the problem of interpreting glass evidence in forensic science casework. Journal of the Forensic Science Society, 26: 3–18, 1986.

    Article  Google Scholar 

  7. Ian Evett. On meaningful questions: a two-trace transfer problem. Journal of the Forensic Science Society, 27: 375–381, 1987.

    Article  Google Scholar 

  8. Ian Evett and John Buckleton. The interpretation of glass evidence. A practical approach. Journal of the Forensic Science Society, 30: 215–223, 1990.

    Article  Google Scholar 

  9. R D Friedman. Infinite strands, infinitesimally thin: Storytelling, Bayesianism, Hearsay and other evidence. Cardozo Law Review, 14:79–101, 1992.

    Google Scholar 

  10. A J M Garrett and D J Fisher. Combining data from different experiments: Bayesian and Meta-analysis. In C.R. Smith et al (eds), Maximum Entropy and Bayesian Methods, 273–286. Kluwer Academic Publishers., 1992.

    Google Scholar 

  11. E T Jaynes. Probability theory — the logic of science. in draft, 1993.

    Google Scholar 

  12. R C Lewontin and Daniel L Hartl. Population Genetics in Forensic DNA typing. Science, 254: 1745–1750, December 1991.

    Article  Google Scholar 

  13. Dennis Lindley. A problem in forensic science. Biometrika, 64: 207–213, 1977.

    Article  MathSciNet  Google Scholar 

  14. Robert M Oliver and James Q Smith (eds). Influence Diagrams, Belief nets and Decision Analysis. John Wiley and Sons, Chichester, 1989.

    Google Scholar 

  15. John W Pratt. Book review of Testing Statistical Hypotheses by E L Lehmann. JASA, 56: 163–166, March 1961.

    Google Scholar 

  16. Bernard Robertson and G A Vignaux. Taking Fact Analysis seriously. Michigan Law Review, 92 (6): 1442–1464, 1993a.

    Article  Google Scholar 

  17. David A Schum and Peter Tillers. Marshalling evidence throughout the process of fact-investigation: a simulation - part iii. investigating fact investigation. unpublished report 89–03, Oct 1989.

    Google Scholar 

  18. Peter Tillers. Webs of things in the mind: A new science of evidence. Michigan Law Review, 87: 1225–1258, May 1989.

    Article  Google Scholar 

  19. Peter Tillers and Eric D. Green. Probability and Inference in the Law of Evidence. Kluwer, 1st edition, 1988.

    Google Scholar 

  20. G A Vignaux and Bernard Robertson. Bayesian methods and Court Decision-making. In A Mohammad-Djafari, editor, Maximum Entropy and Bayesian Methods, Paris, 1992 (Proc 12th MaxEnt Workshop), 85–92. Kluwer Academic Publishers, 1993b.

    Google Scholar 

  21. G A Vignaux and Bernard Robertson. Wigmore Diagrams and Bayes networks. In A Mohammad-Djafari, editor, Maximum Entropy and Bayesian Methods, Paris, 1992 (Proc 12th MaxEnt Workshop), 93–98. Kluwer Academic Publishers, 1993c.

    Google Scholar 

  22. John Henry Wigmore. Principles of judicial proof. Little, Brown and Co, Boston, 2nd edition, 1931.

    Google Scholar 

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© 1996 Springer Science+Business Media Dordrecht

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Vignaux, G.A., Robertson, B. (1996). Lessons from the New Evidence Scholarship. In: Heidbreder, G.R. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 62. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8729-7_32

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  • DOI: https://doi.org/10.1007/978-94-015-8729-7_32

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4407-5

  • Online ISBN: 978-94-015-8729-7

  • eBook Packages: Springer Book Archive

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