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A characterization of the price indices satisfying the Eichhorn-Voeller axioms

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Abstract

In [EiV1] and [EiV2] a set of axioms based on sound economic reasoning was introduced, which a function should satisfy in order to be called a price index. There the problem was already posed how to characterize these sets of functions in mathematical terms. After introducing, for mathematical reasons only, a slight generalization of the axioms this paper presents one possible solution of this problem.

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References

  • [Acz1] Aczél J.: Lectures on Functional Equations and Their Applications, New York, San Francisco, London 1966.

  • [Acz2] Aczél J., Roberts F. S., Rosenbaum Z.: On Scientific Laws Without Dimensional Constants. Journal of Mathematical Analysis and Applicatons 119 (1986), 389–416.

    Article  MATH  Google Scholar 

  • [EiV1] Eichhorn W., Voeller J.: Theory of the Price Index. Lecture Notes in Economics and Mathematical Systems (140). Springer Verlag: Berlin, Heidelberg, New York (1976).

    Google Scholar 

  • [EiV2] Eichhorn W., Voeller J.: Axiomatic Foundation of Price Indexes and Purchasing Power Parities in “Price Level Measurement: Proceedings from a Conference sponsored by Statistics Canada”. Editors: W.E. Diewert, C. Montmarquette, Ottawa 1983.

  • [Fris] Frisch R.: Necessary and Sufficient Conditions Regarding the Form of an Index Number Which Shall Meet Certain of Fischer's Tests Journal of the American Statistial Association, 25, 1930, 397–406.

    Article  MATH  Google Scholar 

  • [Lasp] Laspeyres E.: Die Berechnung einer mittleren Waarenpreissteigerung. Jahrbücher für Nationalökonomie und Statistik 23, 1871, 168–178.

    Google Scholar 

  • [Paas] Paasche H.: Über die Preisentwicklung der letzten Jahre, nach den Hamburger Börsenentwicklungen. Jahrbücher für Nationalökonomie und Statistik 23, 1874, 168–178.

    Google Scholar 

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  1. Winfried Gleißner Schleißheimer Straße 209, D-8000, München 40, Germany

    W. Gleißner

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  1. W. Gleißner
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Gleißner, W. A characterization of the price indices satisfying the Eichhorn-Voeller axioms. Statistical Papers 31, 241–250 (1990). https://doi.org/10.1007/BF02924697

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  • DOI: https://doi.org/10.1007/BF02924697

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