Kurt Weichselberger's Contribution to Imprecise Probabilities
نویسندگان
چکیده
Kurt Weichselberger, one of the influential senior members of the imprecise probability community, passed away on February 7, 2016. Almost throughout his entire academic life the major focus of his research interest has been on the foundations of probability and statistics. The present article is a first attempt to trace back chronologically the development of Weichselberger’s work on interval probability and his symmetric theory of logical probability based on it. We also try to work out the intellectual background of his different projects together with some close links between them.
منابع مشابه
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...
متن کاملFrom imprecise to granular probabilities
Gert de Cooman’s work is an important contribution to a better understanding of how to deal with imprecise probabilities. But there is an important issue which is not addressed. How can imprecise probabilites be dealt with not in isolation but in the broader context of imprecise probability distributions, imprecise events and imprecise relations? What is needed for this purpose is the concept o...
متن کاملHuman reasoning with imprecise probabilities: Modus ponens and denying the antecedent
The modus ponens (A → B, A ∴ B) is, along with modus tollens and the two logically not valid counterparts denying the antecedent (A → B,¬A ∴ ¬B) and affirming the consequent, the argument form that was most often investigated in the psychology of human reasoning. The present contribution reports the results of three experiments on the probabilistic versions of modus ponens and denying the antec...
متن کاملThe Sensitivity of Belief Networks to Imprecise Probabilities: An Experimental Investigation
Bayesian belief networks are being increasingly used as a knowledge representation for reasoning under uncertainty. Some researchers have questioned the practicality of obtaining the numerical probabilities with sucient precision to create belief networks for large-scale applications. In this work, we i n v estigate how precise the probabilities need to be by measuring how imprecision in the pr...
متن کاملA tree augmented classifier based on Extreme Imprecise Dirichlet Model
0888-613X/$ see front matter 2010 Elsevier Inc doi:10.1016/j.ijar.2010.08.007 ⇑ Corresponding author. E-mail addresses: [email protected] (G. Corani), ca We present TANC, a TAN classifier (tree-augmented naive) based on imprecise probabilities. TANC models prior near-ignorance via the Extreme Imprecise Dirichlet Model (EDM). A first contribution of this paper is the experimental comparison betwe...
متن کامل