Imprecise Probability: Theories and Applications (ISIPTA'13)

Imprecise Probability: Theories and Applications (ISIPTA'13)

Imprecise probability trees: Bridging two theories of imprecise probability

We give an overview of two approaches to probability theory where lower and upper probabilities, rather than probabilities, are used: Walley’s behavioural theory of imprecise probabilities, and Shafer and Vovk’s game-theoretic account of probability. We show that the two theories are more closely related than would be suspected at first sight, and we establish a correspondence between them that...

Imprecise probability models and their applications

This special issue of the International Journal of Approximate Reasoning (IJAR) grew out of the 5th International Symposium on Imprecise Probabilities and Their Applications (ISIPTA’07), held in the beautiful city of Prague, Czech Republic, in July 2007 (http://www.sipta.org/isipta07). The symposium was organized by Gert de Cooman, Jiřina Vejnarová, and Marco Zaffalon. The term imprecise probab...

Imprecise Probability

Imprecise Probability

1 Overview Quantification of uncertainty is mostly done by the use of precise probabilities: for each event A, a single (classical, precise) probability P (A) is used, typically satisfying Kolmogorov's axioms [4]. Whilst this has been very successful in many applications, it has long been recognized to have severe limitations. Classical probability requires a very high level of precision and co...