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» A survey of the theory of coherent lower previsions
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IJAR
2008
78views more  IJAR 2008»
13 years 4 months ago
A survey of the theory of coherent lower previsions
This paper presents a summary of Peter Walley's theory of coherent lower previsions. We introduce three representations of coherent assessments: coherent lower and upper prev...
Enrique Miranda
ISIPTA
2003
IEEE
106views Mathematics» more  ISIPTA 2003»
13 years 10 months ago
Continuous Linear Representation of Coherent Lower Previsions
This paper studies the possibility of representing lower previsions by continuous linear functionals. We prove the existence of a linear isomorphism between the linear space spann...
Sebastian Maaß
ISIPTA
2005
IEEE
123views Mathematics» more  ISIPTA 2005»
13 years 10 months ago
On Coherent Variability Measures and Conditioning
Coherent upper and lower previsions are becoming more and more popular as a mathematical model for robust valuations under uncertainty. Likewise, the mathematically equivalent cla...
Sebastian Maaß
ISIPTA
1999
IEEE
117views Mathematics» more  ISIPTA 1999»
13 years 9 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
IJAR
2008
140views more  IJAR 2008»
13 years 4 months ago
Financial risk measurement with imprecise probabilities
Although financial risk measurement is a largely investigated research area, its relationship with imprecise probabilities has been mostly overlooked. However, risk measures can b...
Paolo Vicig