Advanced Search
MyIDEAS: Login to save this paper or follow this series

Optimal moment bounds under multiple shape constraints


Author Info

  • WOUTERS, Geert


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.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL:
Download Restriction: no

Bibliographic Info

Paper provided by University of Antwerp, Faculty of Applied Economics in its series Working Papers with number 2009005.

as in new window
Length: 19 pages
Date of creation: Jun 2009
Date of revision:
Handle: RePEc:ant:wpaper:2009005

Contact details of provider:
Postal: Prinsstraat 13, B-2000 Antwerpen
Web page:
More information through EDIRC

Related research

Keywords: Probability bounds; Shape constraints; Convex optimization;

This paper has been announced in the following NEP Reports:


No references listed on IDEAS
You can help add them by filling out this form.



This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.


Access and download statistics


When requesting a correction, please mention this item's handle: RePEc:ant:wpaper:2009005. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joeri Nys).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.