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ISIPTA
2005
IEEE
146views Mathematics» more  ISIPTA 2005»
14 years 5 months ago
Arithmetic on Random Variables: Squeezing the Envelopes with New Joint Distribution Constraints
Uncertainty is a key issue in decision analysis and other kinds of applications. Researchers have developed a number of approaches to address computations on uncertain quantities....
Jianzhong Zhang 0004, Daniel Berleant
ISIPTA
2005
IEEE
140views Mathematics» more  ISIPTA 2005»
14 years 5 months ago
Conservative Rules for Predictive Inference with Incomplete Data
This paper addresses the following question: how should we update our beliefs after observing some incomplete data, in order to make credible predictions about new, and possibly i...
Marco Zaffalon
ISIPTA
2005
IEEE
131views Mathematics» more  ISIPTA 2005»
14 years 5 months ago
The Logical Concept of Probability and Statistical Inference
A consistent concept of logical probability affords the employment of interval probability. Such a concept which attributes probability to arguments consisting of premise and con...
Kurt Weichselberger
ISIPTA
2005
IEEE
130views Mathematics» more  ISIPTA 2005»
14 years 5 months ago
On an Interval-Valued Solution of the Marginal Problem
Jirina Vejnarová, Radim Jirousek, Vladislav...
ISIPTA
2005
IEEE
161views Mathematics» more  ISIPTA 2005»
14 years 5 months ago
Decision making under incomplete data using the imprecise Dirichlet model
The paper presents an efficient solution to decision problems where direct partial information on the distribution of the states of nature is available, either by observations of ...
Lev V. Utkin, Thomas Augustin
ISIPTA
2005
IEEE
115views Mathematics» more  ISIPTA 2005»
14 years 5 months ago
Powerful algorithms for decision making under partial prior information and general ambiguity attitudes
This paper discusses decision making in the practically important situation where only partial prior information on the stochastic behavior of the states of nature expressed by im...
Lev V. Utkin, Thomas Augustin
ISIPTA
2005
IEEE
119views Mathematics» more  ISIPTA 2005»
14 years 5 months ago
Ordinal Subjective Foundations for Finite-domain Probability Agreement
Normative study of probability-agreeing orderings of propositions, much of it rooted in a false but evocative conjecture of Bruno de Finetti, has typically sought to credal ration...
Paul Snow
ISIPTA
2005
IEEE
190views Mathematics» more  ISIPTA 2005»
14 years 5 months ago
Generalized Conditioning in Neighbourhood Models
Sets of probability measures which form neighbourhoods of classical probability measures are studied. An application of Jeffrey’s rule of conditioning to forming neighbourhoods...
Damjan Skulj
ISIPTA
2005
IEEE
115views Mathematics» more  ISIPTA 2005»
14 years 5 months ago
A Protocol for the Elicitation of Imprecise Probabilities
A protocol for the elicitation of imprecise probabilities based on linear programming is applied to the case of two continuous variables. Two medical experts were elicited. The re...
Alane Alves Silva, Fernando Campello de Souza
ISIPTA
2005
IEEE
130views Mathematics» more  ISIPTA 2005»
14 years 5 months ago
No Double Counting Semantics for Conditional Independence
The main goal of this paper is to describe a new semantic for conditional independence in terms of no double counting of uncertain evidence. For ease of exposition, we use probabi...
Prakash P. Shenoy