Preview

Communicology

Advanced search

Interval Probabilities in Juridical Practice and Its Communicative Inputs

https://doi.org/10.21453/2311-3065-2018-6-1-192-198

Abstract

The article focuses on the quantitative interpretation of trials, including its communicative inputs. Outlines some of the shortcomings of the process of identifying guilt and verdict. In the analysis of the legal solutions introduced subjective probabilities and some of the information and communication components. While the Bayesian inference is a common method for revision of beliefs, it requires precise prior probabilities and likelihoods, usually assessed in the form of intervals. Therefore this work comments upon procedures to introduce interval probabilities to statistical reasoning that support the analysis of evidence in court trials.

This work highlights the problems of judgment in legal trials and some of the communicative elements that are present here. It emphasizes the possibilities to improve the decision analysis process in trials by adopting subjective probability as a measure of uncertainty about the level of guilt of a defendant judged upon testimonies. Bayesian and other approaches can then serve to adapt beliefs. The key element of the discussion here is the introduction of interval probability estimates and the benefits they bring to legal decision making.

About the Authors

N. Nikolova
Australian Maritime College, University of Tasmania
Australia

Natalia Nikolova

Launceston TAS



D. Toneva
Technical University of Varna
Bulgaria

Daniela Toneva

Varna



S. Ivanova
Nikola Vaptsarov Maritime Academy
Bulgaria

Snejana Ivanova

9027, Varna, V. Drumev Str.



K. Tenekedjiev
Australian Maritime College, University of Tasmania; Nikola Vaptsarov Maritime Academy
Australia

Kiril Tenekedjiev

Australia, Launceston TAS
9027, Bulgaria, Varna, V. Drumev Str.



References

1. Coolen F. (1994) Bounds for Expected Loss in Bayesian Decision Theory with Imprecise Prior Probabilities. J. R. Stat. Soc. Vol. 43. P. 371-379.

2. De Finetti B. (1974). Theory of Probability. Vol. 1. John Wiley.

3. De Finetti B. (1975). Theory of Probability. Vol. 2. John Wiley.

4. French S., Insua D.R. (2000). Statistical Decision Theory. Arnold, London.

5. Goldman A. (1999). Knowledge in a Social World. Oxford University Press.

6. Goldman A. (2002). Quasi-objective Bayesianism and Legal Evidence. Jurimetrics Journal. Vol. 42.

7. Ivanova S., Nikolova N.D., Tenekedjiev K. (2008). Court trial reasoning with interval probabilities. Seventh International Scientific – Applied Conference “Strategic Trends in Business in 21st Century and the Quality of Higher Education. P. 381-385, 2-4 July, Varna, Bulgaria.

8. Pan Y., Klir G. (1997). Bayesian Inference Based on Interval-Valued Prior Distributions and Likelihoods. Journal of Intelligent and Fuzzy Systems. Vol. 5. P. 193-203.

9. Pratt J.W., Raiffa H., Schlaifer R. (2008). Introduction to Statistical Decision Theory. Cambridge, Massachusetts: MIT Press.

10. Redmayne M. (2003). Objective Probability and the Assessment of Evidence. Law, Probability and Risk. Vol. 2. P. 275-294.

11. Snow P. (1991). Improved Posterior Probability Estimates from Prior and Conditional Linear Constraint Systems. IEEE Trans. Systems, Man and Cybernetics. Vol. 21. P. 464-469.

12. Tenekedjiev K., Nikolova N.D., Toneva D. (2006). Laplace expected utility criterion for ranking fuzzy rational generalized lotteries of I type. Cybernetics and Information Technologies. No. 6 (3). P. 93-109.

13. Tenekedjiev K., Nikolova N.D. (2007). Decision Theory – Subjectivity, Reality and Fuzzy Rationality. CIELA, Sofia, Bulgaria (In Bulgarian).

14. Utkin L.V. (2007). Risk analysis under partial prior information and non-monotone utility functions. International Journal of Information Technology and Decision Making. Vol. 6. P. 625-647.

15. Walley P. (1991). Statistical Reasoning with Imprecise Probabilities. London: Chapman&Hall.

16. White C. (1986). A Posterior Representation based on Linear Inequality Descriptions of A Priori and Conditional Probabilities. IEEE Trans. Systems, Man and Cybernetics. Vol. 16. P. 570-573.


Review

For citations:


Nikolova N., Toneva D., Ivanova S., Tenekedjiev K. Interval Probabilities in Juridical Practice and Its Communicative Inputs. Communicology. 2018;6(1):192-198. https://doi.org/10.21453/2311-3065-2018-6-1-192-198

Views: 143


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2311-3065 (Print)
ISSN 2311-3332 (Online)