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» Towards a Unified Theory of Imprecise Probability
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ISIPTA
1999
IEEE
117views Mathematics» more  ISIPTA 1999»
13 years 8 months ago
Towards a Unified Theory of Imprecise Probability
Belief functions, possibility measures and Choquet capacities of order 2, which are special kinds of coherent upper or lower probability, are amongst the most popular mathematical...
Peter Walley
ISIPTA
2003
IEEE
120views Mathematics» more  ISIPTA 2003»
13 years 9 months ago
Towards a Chaotic Probability Model for Frequentist Probability: The Univariate Case
We adopt the same mathematical model of a set M of probability measures as is central to the theory of coherent imprecise probability. However, we endow this model with an objecti...
Pablo Ignacio Fierens, Terrence L. Fine
IJAR
2008
99views more  IJAR 2008»
13 years 4 months ago
Unifying practical uncertainty representations. II: Clouds
There exist many tools for capturing imprecision in probabilistic representations. Among them are random sets, possibility distributions, probability intervals, and the more recen...
Sébastien Destercke, Didier Dubois, Eric Ch...
ISIPTA
2005
IEEE
151views Mathematics» more  ISIPTA 2005»
13 years 10 months ago
Towards a Unifying Theory of Logical and Probabilistic Reasoning
Logic and probability theory have both a long history in science. They are mainly rooted in philosophy and mathematics, but are nowadays important tools in many other fields such...
Rolf Haenni
SOFSEM
2009
Springer
13 years 8 months ago
Randomness and Determination, from Physics and Computing towards Biology
In this text we will discuss different forms of randomness in Natural Sciences and present some recent results relating them. In finite processes, randomness differs in various ...
Giuseppe Longo