Equivalence of Changes in Proportions at Crossroads of Mathematical Theories

János Aczél, Günter Rote and Jens Schwaiger
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János Aczél: University of Waterloo, Faculty of Mathematics
Günter Rote: Technische Universität, Institut für Mathematik
Jens Schwaiger: Karl-Franzens Universität, Institut für Mathematik

A chapter in The Ordered Weighted Averaging Operators, 1997, pp 36-38 from Springer

Abstract: Abstract After restating certain ‘reasonable’ requirements for changes in proportions to be equivalent, we determine all relations which satisfy them (there are uncountably many). The proof makes use of the theories of webs, of iteration groups, of concave functions and of functional equations.

Keywords: Probability Density Function; Probability Distribution Function; Concave Function; Empirical Distribution Function; Iteration Group (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-6123-1_4

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DOI: 10.1007/978-1-4615-6123-1_4

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