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ISIPTA
2003
IEEE
147views Mathematics» more  ISIPTA 2003»
15 years 6 months ago
Reducing Uncertainty by Imprecise Judgements on Probability Distributions: Application to System Reliability
In this paper the judgement consisting in choosing a function that is believed to dominate the true probability distribution of a continuous random variable is explored. This kind...
Igor Kozine, V. Krymsky
ISIPTA
2003
IEEE
145views Mathematics» more  ISIPTA 2003»
15 years 6 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
ISIPTA
2003
IEEE
140views Mathematics» more  ISIPTA 2003»
15 years 6 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
ISIPTA
2003
IEEE
130views Mathematics» more  ISIPTA 2003»
15 years 6 months ago
Some Results on Generalized Coherence of Conditional Probability Bounds
Based on the coherence principle of de Finetti and a related notion of generalized coherence (g-coherence), we adopt a probabilistic approach to uncertainty based on conditional p...
Veronica Biazzo, Angelo Gilio, Giuseppe Sanfilippo
ISIPTA
2003
IEEE
127views Mathematics» more  ISIPTA 2003»
15 years 6 months ago
Climate Projections for the 21st Century Using Random Sets
We apply random set theory to an analysis of future climate change. Bounds on cumulative probability are used to quantify uncertainties in natural and socio-economic factors that ...
Elmar Kriegler, Hermann Held
Mathematics
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