Generalized conditioning in neighbourhood models

4th International Symposium on Imprecise Probabilities and Their Applications, ISIPTA 2005

Volumn , Issue , 2005, Pages

  Škulj, Damjan ^a  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

Interval probability; Neighbourhood models; Non additive probabilities; Robust statistics

Indexed keywords

CLASSICAL PROBABILITIES; INTERVAL PROBABILITY; NEIGHBOURHOOD MODELS; NON-ADDITIVE; PROBABILITY MEASURES; ROBUST STATISTICS; SETS OF PROBABILITIES;

PROBABILITY;

EID: 84976438808     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (14)

1. T. Augustin. Neyman-pearson testing under interval probability by globally least favorable pairs – reviewing Huber-Strassen theory and extending it to general interval probability. Journal of Statistical Planning and Inference, 105(1):149–173, 2002.
2. J. Berger. An overview of robust bayesian analysis [with discussion]. Test, 3:5–124, 1994.
3. A. Buja. On the Huber-Strassen theorem. Probability Theory and Related Fields, 73:149–152, 1986.
4. D. Denneberg. Non-additive measure and integral. Kluwer Academic Publishers, Dordrecht, 1997.
5. P.J. Huber. Robust Statistics. Wiley, New York, 1981.
6. R.C. Jeffrey. The Logic of Decision. McGraw-Hill, University of Chicago, Chicago, 1965.
7. J.B. Kadane and L. Wasserman. Symmetric, coherent, choquet capacities. Annals of Statistics, 24(3):1250–1264, 1996.
8. I. Levi. The Enterprise of Knowledge. MIT Press, Massachusetts, 1980.
9. Ph. Smets. Jeffrey’s rule of conditioning generalized to belief functions. In Proceedings of the 9th Conference on Uncertainty in Artificial Intelligence, UAI93, Heckerman D., Mamdani A. (eds.). Morgan Kaufmann Publ., San Mateo, California, 1993.
10. P. Walley. Statistical reasoning with imprecise probabilities. Chapman and Hall, London, New York, 1991.
11. A. Wallner. Bi-elastic neighbourhood models. Proceedings of the Third International Symposium on Imprecise Probabilities and Their Applications, pages 593–607, 2003.
12. K. Weichselberger. The theory of interval-probability as a unifying concept for uncertainty. International Journal of Approximate Reasoning, 24:149–170, 2000.
13. K. Weichselberger. Elementare Grundbe-griffe einer allgemeineren Wahrscheinlichkeits-rechnung I – Intervallwahrscheinlichkeit als um-fassendes Konzept. Physica - Verlag, Heidelberg, 2001.
14. K. Weichselberger and T. Augustin. On the symbiosis of two concepts of conditional interval probability. Proceedings of the Third International Symposium on Imprecise Probabilities and Their Applications, pages 608–629, 2003.