Enhancement of natural extension

ISIPTA 2007 - Proceedings of the 5th International Symposium on Imprecise Probability: Theories and Applications

Volumn , Issue , 2007, Pages 253-262

  Kozine, Igor ^a   Krymsky, Victor ^b  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b Science and Education Center of Bashkir People History Ufa University of Science and Technology   (Russian Federation)

Author keywords

Imprecise probability; Natural extension; Reliability analysis; Statistical reasoning; Variational calculus

Indexed keywords

IMPRECISE PREVISION; IMPRECISE PROBABILITIES; NATURAL EXTENSION; RELIABILITY APPLICATIONS; STATISTICAL EVIDENCE; STATISTICAL REASONING;

RELIABILITY ANALYSIS; VARIATIONAL TECHNIQUES;

PROBABILITY;

EID: 84859513731     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

1. Walley P. (1991) Statistical reasoning with imprecise probabilities. Chapman and Hall. New York.
2. Utkin L. and Kozine I. (2001) Different faces of the natural extension. In: Proceedings of the Second International Symposium on Imprecise Probabilities and Their Applications, ISIPTA '01, pp. 316-323.
3. Kuznetsov V. (1991) Interval statistical models. Radio and Sviaz. Moscow. (In Russian).
4. Utkin L. (2002) Imprecise calculation with the qualitative information about probability distributions. In: Proceedings of the conference on Soft Methods in Probability and Statistics. Eds. P. Grzegorzewski, O. Hryniewicz and M.A. Gil, Physica-Verlag, Heidelberg, New York, pp. 164-169.
5. Smith E.J. (1995) Generalized Chebychev inequalities: Theory and applications in decision analysis. Operations Research, Vol. 43(5), pp. 807-825.
6. Kozine I.O., Krymsky V.G. (2003) Reducing uncertainty by imprecise judgements on probability distributions: Application to system reliability. In: Proceedings. 3rd International symposium on imprecise probabilities and their applications (ISIPTA '03), Lugano (CH), 14-17 July 2003. Bernard, J.-M.; Seidenfeld, T.; Zaffalon, M. (eds.), (Carleton Scientific, Waterloo (CA), 2003) (Proceedings in Informatics, 18), pp. 335-344.
7. Ivanov V.A., Faldin N.V. (1981) Theory of optimal control systems. Nauka Publ. Moscow. (In Russian).
8. Gelfand I.M., Fomin S.V. (2000) Calculus of variations. Dover Publ. New York, 240 p.
9. Kozine I., and Krymsky V. (2007) Computing interval-valued statistical characteristics: What is the stumbling block for reliability applications? Submitted to the Journal of Reliable Computing.