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7 papers · 2 filters
Statistical Decisions Using Likelihood Information Without Prior Probabilities
Phan H. Giang, Prakash P. Shenoy
This paper presents a decision-theoretic approach to statistical inference that satisfies the likelihood principle (LP) without using prior information. Unlike the Bayesian approac…
Decision Making with Partially Consonant Belief Functions
Phan H. Giang, Prakash P. Shenoy
This paper studies decision making for Walley's partially consonant belief functions (pcb). In a pcb, the set of foci are partitioned. Within each partition, the foci are nested. T…
A Linear Belief Function Approach to Portfolio Evaluation
Liping Liu, Catherine Shenoy, Prakash P. Shenoy
By elaborating on the notion of linear belief functions (Dempster 1990; Liu 1996), we propose an elementary approach to knowledge representation for expert systems using linear bel…
Hybrid Influence Diagrams Using Mixtures of Truncated Exponentials
Barry Cobb, Prakash P. Shenoy
Mixtures of truncated exponentials (MTE) potentials are an alternative to discretization for representing continuous chance variables in influence diagrams. Also, MTE potentials ca…
Hybrid Bayesian Networks with Linear Deterministic Variables
Barry Cobb, Prakash P. Shenoy
When a hybrid Bayesian network has conditionally deterministic variables with continuous parents, the joint density function for the continuous variables does not exist. Conditiona…
Inference in Hybrid Bayesian Networks Using Mixtures of Gaussians
Prakash P. Shenoy
The main goal of this paper is to describe a method for exact inference in general hybrid Bayesian networks (BNs) (with a mixture of discrete and continuous chance variables). Our…