Research article

Kilka uwag na temat zastosowania analizy bayesowskiej w prawie

Autorzy artykułu
  1. Bartosz Janik
  2. Paweł Banaś

Some Remarks on the Application of Bayesian Analysis in Law

Archiwum Filozofii Prawa i Filozofii Społecznej, nr 1(10)/2015, s. 31-40

polski

Abstrakt

This paper discusses the use of Bayesian analysis in law. It introduces the key concepts of Bayesian analysis by giving some common examples of criminal cases. It focuses on the advantages of Bayesian analysis over some other probability interpretations (mainly the frequentist one). The last part of the text discusses the general notion of truth in legal proceedings and its possible interpretations within the probabilistic framework – given the Bayesian subjectivists-objectivists discussion.

Słowa kluczowe

  • Thomas Bayes
  • twierdzenie Bayesa
  • subiektywizm
  • obiektywizm

angielski

Abstract

This paper discusses the use of Bayesian analysis in law. It introduces the key concepts of Bayesian analysis by giving some common examples of criminal cases. It focuses on the advantages of Bayesian analysis over some other probability interpretations (mainly the frequentist one). The last part of the text discusses the general notion of truth in legal proceedings and its possible interpretations within the probabilistic framework – given the Bayesian subjectivists-objectivists discussion.

Keywords

  • Thomas Bayes
  • Bayes’ theorem
  • subjectivism
  • objectivism
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Bibliografia

16 pozycji bibliograficznych

Literatura

  1. Albert, M. (2003). Bayesian Rationality and Decision making: A Critical Review. Analyse & Kritik 25, 101–117.

  2. Albert, M. (2009). Why Bayesian Rationality Is Empty, Perfect Rationality Doesn’t Exist, Ecological Rationality Is Too Simple, and Critical Rationality Does the Job. In M. Baurmann, B. Lahno (Eds.), Perspectives in Moral Science. Frankfurt: Frankfurt School Verlag.

  3. Bretthorst, G.L. (1990). An Introduction To Parameter Estimation Using Bayesian Probability Theory.

  4. In P.F. Fourgere (Ed.), Maximum Entropy and Bayesian Methods. Dordrecht: Kluwer Academic Publishing.

  5. Cheng, E. (2013). Reconceptualizing the burden of proof. Yale Law Journal 122/5, 1254–1279.

  6. Cox, R.T. (1946). Probability, Frequency and Reasonable Expectation. American Journal of Physics 14/1, 1–13.

  7. Dienes, Z. (2011). Bayesian Versus Orthodox Statistics: Which Side Are You On? Perspectives on Psychological Science 6/3, 274–290.

  8. Gelman, A., Shalizi, C.R. (2000). Philosophy and the practice of Bayesian statistics. British Journal of Mathematical and Statistical Psychology 66/1, 8–38.

  9. Gilles, D.A. (2000). Philosophical Theories of Probability. London–New York: Routledge.

  10. Gregory, P.C. (2005). Bayesian Logical Data Analysis for the Physical Sc iences: A Comparative Approach with Mathematica Support. Cambridge: Cambridge University Press.

  11. Heit, E. (1998). A Bayesian analysis of some forms of inductive reasoning. In M. Oaksford, N.Chater (Eds.), Rational models of cognition. Oxford: Oxford University Press.

  12. Howie, D. (2002). Interpreting Probability: Controversies And Developments In The Early Twentieth Century. Cambridge: Cambridge University Press.

  13. Jaynes, E.T. (1985). Bayesian Methods: General Background. An Introductory tutorial. In J.H. Justice (Ed.), Maximum Entropy and Bayesian Methods in Applied Statistics. Cambridge: Cambridge University Press.

  14. Jaynes, E.T. (2003). Probability Theory: The Logic of Science. Cambridge: Cambridge University Press.

  15. Shannon, C.E. (1948). A Mathematical Theory of Communication. The Bell System Technical Journal 27, 379–423.

  16. Załuski, W. (2008). Skłonnościowa Interpretacja Prawdopodobieństwa. Kraków: OBI-Biblos.

Informacje o publikacji

Autor i afiliacja

Bartosz Janik

Dane wydania

Numer nr 1(10)/2015

Strony
31-40
Opublikowano
DostępOpen LicencjaCC BY 4.0 ↗

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Format AFPiFS

B. Janik, P. Banaś, Kilka uwag na temat zastosowania analizy bayesowskiej w prawie, „Archiwum Filozofii Prawa i Filozofii Społecznej” nr 1(10)/2015, s. 31–40, DOI: 10.36280/afpifs.2015.1.31