 A GRAS VARIANT SOLVING FOR MINIMUM INFORMATION LOSSAndre Lemelin Economic Systems Research, 2009, vol. 21, issue 4, 399-408 Abstract: The fundamental idea in Junius and Oosterhaven (2003) is to break down the information contained in the a priori data into two parts: algebraic signs, and absolute values. This approach is well grounded in information theory, and provides a basis on which to solve the problem of adjusting matrices with negative entries. However, Junius and Oosterhaven (2003) have formulated a target function that is not equivalent to the Kullback and Leibler (1951) cross-entropy measure, and so is not a representation of the minimum information loss principle. Neither is the alternative target function proposed by Lenzen et al. (2007). This paper develops the exact Kullback and Leibler cross-entropy measure. In addition, following the constrained optimization approach, this paper applies the same principle to solve adjustment problems where row-sums, column-sums or both are constrained to zero. Keywords: RAS matrix balancing; Negative entries; GRAS; Minimum cross-entropy (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:taf:ecsysr:v:21:y:2009:i:4:p:399-408 Ordering information: This journal article can be ordered from DOI: 10.1080/09535311003589310 Access Statistics for this article Economic Systems Research is currently edited by Bart Los and Manfred Lenzen More articles in Economic Systems Research from Taylor & Francis Journals |
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