Title
Computing mean and variance under Dempster–Shafer uncertainty: Towards faster algorithms
Abstract
In many real-life situations, we only have partial information about the actual probability distribution. For example, under Dempster–Shafer uncertainty, we only know the masses m1,…,mn assigned to different sets S1,…,Sn, but we do not know the distribution within each set Si. Because of this uncertainty, there are many possible probability distributions consistent with our knowledge; different distributions have, in general, different values of standard statistical characteristics such as mean and variance. It is therefore desirable, given a Dempster–Shafer knowledge base, to compute the ranges [E̲,E¯] and [V̲,V¯] of possible values of mean E and of variance V.
Year
DOI
Venue
2006
10.1016/j.ijar.2005.12.001
International Journal of Approximate Reasoning
Keywords
Field
DocType
quadratic optimization,dempster shafer,polynomial time,probability distribution,knowledge base
Discrete mathematics,Algorithm,Regular polygon,Quadratic function,Convex function,Probability distribution,Quadratic programming,Time complexity,Dempster–Shafer theory,Mathematics
Journal
Volume
Issue
ISSN
42
3
0888-613X
Citations 
PageRank 
References 
8
0.72
5
Authors
3
Name
Order
Citations
PageRank
Vladik Kreinovich11091281.07
Gang Xiang27711.18
Scott Ferson330537.30