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ISIPTA
2003
IEEE
110views Mathematics» more  ISIPTA 2003»
14 years 2 months ago
Extensions of Expected Utility Theory and Some Limitations of Pairwise Comparisons
We contrast three decision rules that extend Expected Utility to contexts where a convex set of probabilities is used to depict uncertainty: Γ-Maximin, Maximality, and E-admissib...
Mark J. Schervish, Teddy Seidenfeld, Joseph B. Kad...
ISIPTA
2003
IEEE
102views Mathematics» more  ISIPTA 2003»
14 years 2 months ago
A Sensitivity Analysis for the Pricing of European Call Options in a Binary Tree Model
The European call option prices have well-known formulae in the Cox-RossRubinstein model [2], depending on the volatility of the underlying asset. Nevertheless it is hard to give ...
Huguette Reynaerts, Michèle Vanmaele
ISIPTA
2003
IEEE
120views Mathematics» more  ISIPTA 2003»
14 years 2 months ago
Reliability Analysis in Geotechnics with Finite Elements --- Comparison of Probabilistic, Stochastic and Fuzzy Set Methods
The finite element method is widely used for solving various problems in geotechnical engineering practice. The input parameters required for the calculations are generally impre...
Gerd M. Peschl, H. F. Schweiger
ISIPTA
2003
IEEE
117views Mathematics» more  ISIPTA 2003»
14 years 2 months ago
Independence with Respect to Upper and Lower Conditional Probabilities Assigned by Hausdorff Outer and Inner Measures
Upper and lower conditional probabilities assigned by Hausdorff outer and inner measures are given; they are natural extensions to the class of all subsets of Ω=[0,1] of finite...
Serena Doria
ISIPTA
2003
IEEE
14 years 2 months ago
Convenient Interactive Computing for Coherent Imprecise Prevision Assessments
A generalization of deFinetti’s Fundamental Theorem of Probability facilitates coherent assessment, by iterated natural extension, of imprecise probabilities or expectations, co...
James Dickey
ISIPTA
2003
IEEE
125views Mathematics» more  ISIPTA 2003»
14 years 2 months ago
Game-Theoretic Learning Using the Imprecise Dirichlet Model
We discuss two approaches for choosing a strategy in a two-player game. We suppose that the game is played a large number of rounds, which allows the players to use observations o...
Erik Quaeghebeur, Gert de Cooman
ISIPTA
2003
IEEE
111views Mathematics» more  ISIPTA 2003»
14 years 2 months ago
The DecideIT Decision Tool
The nature of much information available to decision makers is vague and imprecise, be it information for human managers in organisations or for process agents in a distributed co...
Mats Danielson, Love Ekenberg, Jim Johansson, Aron...
ISIPTA
2003
IEEE
14 years 2 months ago
Computing Lower Expectations with Kuznetsov's Independence Condition
Kuznetsov’s condition says that variables X and Y are independent when any product of bounded functions f(X) and g(Y) behaves in a certain way: the interval of expected values E...
Fabio Gagliardi Cozman
ISIPTA
2003
IEEE
145views Mathematics» more  ISIPTA 2003»
14 years 2 months ago
An Extended Set-valued Kalman Filter
Set-valued estimation offers a way to account for imprecise knowledge of the prior distribution of a Bayesian statistical inference problem. The set-valued Kalman filter, which p...
Darryl Morrell, Wynn C. Stirling