Title
Optimal moment bounds under multiple shape constraints Optimal moment bounds under multiple shape constraints
Author
Faculty/Department
Faculty of Applied Economics
Publication type
report
Publication
Antwerpen :Universiteit Antwerpen, [*]
Subject
Economics
Source (series)
Research paper / University of Antwerp ; 2009:5
Volume/pages
17 p.,
Carrier
E
Target language
English (eng)
Affiliation
University of Antwerp
Abstract
Consider the problem of computing the optimal lower and upper bound for the expected value E[(X)], where X is an uncertain random probability variable. This paper studies the case in which the density of X is restricted by multiple shape constraints, each imposed on a different subset of the domain. We derive (closed) convex hull representations that allow us to reduce the optimization problem to a class of generating measures that are composed of convex sums of local probability measures. Furthermore, the notion of mass constraints is introduced to spread out the probability mass over the entire domain. A generalization to mass uncertainty is discussed as well.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/d3b24e/44c0fee4.pdf
Handle