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Remarks about the generalizations of the Fisher index

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  • Jacek Białek

Abstract

In Fisher’s index theory the crossing of formulas and weights was regarded as the most pertinent method to derive an “ideal” index formula. The well known Fisher index is a geometric mean of Laspeyres and Paasche indexes and it satisfies most of the postulates coming from the axiomatic index theory. In this paper we consider the generalized Fisher index. The purpose of the study is to propose and discuss some more general class of indexes including the generalized Fisher index.

Suggested Citation

  • Jacek Białek, 2011. "Remarks about the generalizations of the Fisher index," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 12(1), pages 139-156, August.
    • Handle: RePEc:csb:stintr:v:12:y:2011:i:1:p:139-156
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    References listed on IDEAS

    as
    1. Fisher, Franklin M. & Shell, Karl, 1972. "The Economic Theory of Price Indices," Elsevier Monographs, Elsevier, edition 1, number 9780122577505 edited by Shell, Karl.
    2. Diewert, W Erwin, 1978. "Superlative Index Numbers and Consistency in Aggregation," Econometrica, Econometric Society, vol. 46(4), pages 883-900, July.
    3. Fisher,Franklin M. & Shell,Karl, 1998. "Economic Analysis of Production Price Indexes," Cambridge Books, Cambridge University Press, number 9780521556231.
    4. Dumagan, Jesus C., 2002. "Comparing the superlative Tornqvist and Fisher ideal indexes," Economics Letters, Elsevier, vol. 76(2), pages 251-258, July.
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    More about this item

    Keywords

    Price index; generalized Fisher index; Laspeyres index; Paasche index; Marhall-Edgeworth index;
    All these keywords.

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation

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