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» Examples of Independence for Imprecise Probabilities
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ISIPTA
1999
IEEE
13 years 9 months ago
Examples of Independence for Imprecise Probabilities
In this paper we try to clarify the notion of independence for imprecise probabilities. Our main point is that there are several possible definitions of independence which are app...
Inés Couso, Serafín Moral, Peter Wal...
ISIPTA
1999
IEEE
115views Mathematics» more  ISIPTA 1999»
13 years 9 months ago
Imprecise Probabilities Relating to Prior Reliability Assessments
The paper summarizes the author's experience in dealing with the Dempster-Shafer theory relating to reliability assessments and demonstrates how to make component and system ...
Igor Kozine
ISIPTA
2003
IEEE
140views Mathematics» more  ISIPTA 2003»
13 years 10 months ago
A Second-Order Uncertainty Model of Independent Random Variables: An Example of the Stress-Strength Reliability
A second-order hierarchical uncertainty model of a system of independent random variables is studied in the paper. It is shown that the complex nonlinear optimization problem for ...
Lev V. Utkin
AMAI
2005
Springer
13 years 5 months ago
Graphoid properties of epistemic irrelevance and independence
This paper investigates Walley's concepts of epistemic irrelevance and epistemic independence for imprecise probability models. We study the mathematical properties of irrele...
Fabio Gagliardi Cozman, Peter Walley
ISIPTA
2003
IEEE
124views Mathematics» more  ISIPTA 2003»
13 years 10 months ago
Decision Making with Imprecise Second-Order Probabilities
In this paper we consider decision making under hierarchical imprecise uncertainty models and derive general algorithms to determine optimal actions. Numerical examples illustrate...
Lev V. Utkin