On uniform marginal representation of contingency tables

Barry C. Arnold and D. V. Gokhale

Statistics & Probability Letters, 1994, vol. 21, issue 4, 311-316

Abstract: For a two-dimensional probability distribution represented as a contingency table, an algorithm due to Mosteller (1968) "standardizes" the table to have uniform marginals so as to obtain its "uniform marginals representation (UMR)". In this note, this algorithm is first shown to minimize the Kullback-Leibler information function between distributions with uniform marginals and the given distribution. Next, a characterization of such tables is proved, in terms of (i) their UMRs, (ii) cross-product ratios of each of their 2 x 2 subtables (iii) the ability to obtain one table from another only by adjustment of their row or column marginals.

Keywords: Kullback--Leibler; information; function; Cross-product; ratios; Adjustment; of; row; or; column; marginals; Compatibility (search for similar items in EconPapers)
Date: 1994
References: Add references at CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0167-7152(94)00024-7
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:21:y:1994:i:4:p:311-316

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().