Remarks about the generalizations of the Fisher index

Jacek Białek

doi:https://doi.org/10.59170/stattrans-2011-009

Remarks about the generalizations of the Fisher index

Jacek Białek University of Lodz, Chair of Statistical Methods, Lodz, Poland Statistics in Transition new series, vol. 12, 2011, 1, pages: 139-156 Published online: 1 August 2011 https://doi.org/10.59170/stattrans-2011-009

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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.

KEYWORDS

Price index, generalized Fisher index, Laspeyres index, Paasche index, Marhall-Edgeworth index

JEL

C43

REFERENCES

BALK M. (1995). Axiomatic Price Index Theory: A Survey, International Statistical Review 63, 69-95.

BIAŁEK J. (2010). The generalized formula for aggregative price indexes, Statistics in Transiotion - new series, vol. 11, 145-154, GUS, Warszawa.

BIAŁEK J. (2011). Proposition of the general formula for price indices, Communications in Statistics: Theory and Methods (in press).

DIEWERT W. (1978). Superlative Index Numbers and Consistency in Aggregation, ,,Econometrica" 46, 883-900.

DOMAŃSKI CZ. (2001). Metody statystyczne. Teoria i zadania, Wydawnictwo Uniwersytetu Lódzkiego, Lodz, Poland.

DUMAGAN J. (2002). Comparing the superlative Tornqvist and Fisher ideal indexes, Economic Letters 76, 251-258.

EICHHORN W., VOELLER J. (1976). Theory of the Price Index. Fisher's Test Approach and Generalizations, Berlin, Heidelberg, New York: Springer- Verlag.

FISHER I. (1922). The Making of Index Numbers, Boston: Houghton Mifflin.

FISHER F.M. (1972). The Economic Theory of Price Indices, Academic Press, New York.

MARTINI M. (1992). A General Function of Axiomatic Index Numbers, Journal of the Italian Statistics Society, 1 (3), 359-376.

KOVES P. (1983). Index Theory and Economic Reality, Budapest: Akad. Kiad.

OLT B. (1996). Axiom und Struktur in der statistischen Preisindextheorie, Frankfurt, Peter Lang.

MOUTLON B., SESKIN E. (1999). A preview of the 1999 comprehensive revision of the national income an product accounts , Survey of Current Business No. 79.

SHELL K. (1998). Economics Analysis of Production Price Indexes, Cambridge University Press, UK.