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Error in Measurement Theory

Author

Listed:
  • Dino Borie

    (GREDEG CNRS
    University of Nice Sophia Antipolis)

Abstract

In the standard theory of extensive measurement, a set of assumptions, or qualitative axioms, are formulated in terms of an ordering and a concatenation operation that lead to a deterministic additive scale unique up to a positive similarity transformation. In this paper, we extend the qualitative primitives of the theory of extensive measurement in such a way that the objects of the domain are represented by random variables and their expectations.

Suggested Citation

  • Dino Borie, 2016. "Error in Measurement Theory," GREDEG Working Papers 2016-09, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    • Handle: RePEc:gre:wpaper:2016-09
    as

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    File URL: http://195.220.198.217/GREDEG-WP-2016-09.pdf
    File Function: First version, 2016
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    References listed on IDEAS

    as
    1. Iverson, G. & Falmagne, J. -C., 1985. "Statistical issues in measurement," Mathematical Social Sciences, Elsevier, vol. 10(2), pages 131-153, October.
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    More about this item

    Keywords

    Extensive structures; Error; Measurement Theory;
    All these keywords.

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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