Unicity of biproportion

Louis de Mesnard

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Abstract: The biproportion of S on margins of M is called the intern composition law, K: (S,M) -> X = K(S,M) / X = A S B. A and B are diagonal matrices, algorithmically computed, providing the respect of margins of M. Biproportion is an empirical concept. In this paper, the author shows that any algorithm used to compute a biproportion leads to the me result. Then the concept is unique and no longer empirical. Some special properties are also indicated.

Keywords: biproportion; biproportional; RAS; updating matrices (search for similar items in EconPapers)
Date: 1994
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Citations: View citations in EconPapers (6)

Published in SIAM Journal on Matrix Analysis and Applications, 1994, 15 (2), pp.490-495

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00383947

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