Skip Navigation

Biometrika 2004 91(1):234-239; doi:10.1093/biomet/91.1.234
© 2004 by Biometrika Trust
This Article
Right arrow FREE Full Text (PDF) Freely available
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Wang, Y. J.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Miscellanea

Compatibility among marginal densities

Yuchung J.Wang1

1 Department of Mathematical Sciences, Rutgers University, Camden, New Jersey 08102, U.S.Ayuwang{at}crab.rutgers.edu

In the Lancaster representation a joint density is decomposed into a sum of additive interactions.Using these interactions, we derive conditions for checking compatibility among a collection of marginal densities. The representation also shows how to construct an all-positive joint density additively from a given set of compatible marginals. An algorithm is proposed for reducing the dimension of the marginal densities so that compatibility can be checked in sequential increments. The representation may yield insights into the construction and simulation of models represented by undirected graphs.

Key Words: Additive interactions; Generating class; Lancaster's representation; Reproducible; Undirected graph

Received June 2002. Revised February 2003


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.