Jacek Białek
ARTICLE

(English) PDF

ABSTRACT

This paper examines a possibility to apply the original price index formula to measuring the commodity substitution bias associated with the Consumer Price Index (CPI). Through simulation study the CPI bias values - calculated by using the original price index formula – is compared with those calculated on the basis of some known, superlative price indices.

KEYWORDS

CPI, COLI, superlative index, Laspeyres index, Fisher index

JEL

E17, E21, E30

REFERENCES

AFRIAT, S. N., (1972). The Theory of International Comparisons of Real Income and Prices, 13–69, In D. J. Daly (ed.), International Comparisons of Prices and Outputs, New York: Columbia University Press.

BIAŁEK, J., (2012a). Propozycja indeksu cen, Statistical News 7, 13–24, Central Statistical Office, Warsaw.

BIAŁEK, J., (2012b). Proposition of the general formula for price indices, Communications in Statistics: Theory and Methods, vol. 41:5, s. 943–952.

BIAŁEK, J., (2013). Simulation study of an original price index formula,Communications in Statistics: Simulation and Computation (in press, DOI: 10.1080/03610918.2012.700367).

BOSKIN, M. J., DULBERGER E. R., GORDON R. J., GRILICHES Z., JORGENSON D., (1996). Toward a More Accurate Measure of the Cost of Living, Final Report to the Senate Finance Committee from the Advisory Commission to Study the Consumer Price Index.

CLEMENTS, K., IZAN H. Y., (1987). The Measurement of Inflation: A Stochastic Approach, Journal of Business and Economic Statistics, 5(3), 339–350.

DIEWERT, W. E., (1974). Functional forms for revenue and factor requirement functions, International Economic Review, 15, 119–130.

DIEWERT, W. E., (1976). Exact and superlative index numbers, Journal of Econometrics, 4, 114–145, North-Holland Publishing Company.

DIEWERT, W. E., (1983). The theory of the cost-of-living index and the measurement of welfare change, Price level measurement: proceedings of a conference sponsored by Statistics Canada, Eds. W. E. Diewert and C. Montmarquette, 163–233, Ottawa: Statistics Canada.

CRAWFORD, A., (1998). Measurement Biases in the Canadian CPI: An Update, Bank of Canada Review, Spring, 38–56.

CUNNINGHAM, A. W., (1996). Measurement biases in price indexes: an application to the UK’s RPI, Bank of England, Working Paper Series 47.

DIEWERT, W. E., (1993). The economic theory of index numbers: a survey, Essays in index number theory, vol. 1, Eds. W. E. Diewert and A. O. Nakamura, 177–221, Amsterdam.

FRISCH, R., (1936). Annual survey of general economic theory: The problem of index numbers, Econometrica, 4, 1–39.

GRAMOT, W., (2007). Mean Value Estimation Using Two-Phase Samples with Missing Data in Both Phases, Acta Appl Math 96, 215–220.

HAŁKA, A., LESZCZYŃSKA, A., (2011). Wady i zalety wskaźnika cen towarów i usług konsumpcyjnych – szacunki obciążenia dla Polski, Gospodarka Narodowa 9, 51–75.

JORGENSON, D. W., SLESNICK, D. T., (1983). Individual and social cost of living indexes, Price level measurement: proceedings of a conference sponsored by Statistics Canada, Eds. W.E. Diewert and C. Montmarquette, 241–336, Ottawa: Statistics Canada.

KONYUS, A., BYUSHGENS, S., (1926). K probleme pokupatelnoi cili deneg, Voprosi Konyunkturi II: 1, 151–172.

MAŁECKA, M., (2011). Prognozowanie zmienności indeksów giełdowych przy wykorzystaniu modelu klasy GARCH, Ekonomista 6, 843–860.

NGASAMIAKU, A., MKENDA, W., (2009). An Analysis of Alternative Weighting System on the National Price Index in Tanzania: The Imlication to Poverty Analysis, Botswana Journal of Economics, 6, no. 10, 50–70.

PAPIEŻ, M., ŚMIECH, S., (2013). Causality in mean and variance within the international steam coal market, Energy Economics 36, 594–604.

POLLAK, R. A., (1971). The theory of the cost of living index, Research Discussion Paper no. 11, Office of Prices and Living Conditions, U. S. Bureau of Labor Statistics, Washington.

POLLAK, R. A., (1989). The theory of the cost-of-living index, Oxford: Oxford University Press.

SAMUELSON, P. A., SWAMY, S., (1974). Invariant economic index numbers and canonical duality: Survey and synthesis, American Economic Review 64, 566–593.

WHITE, A. G., (1999). Measurement Biases in Consumer Price Indexes, International Statistical Review, 67, 3, 301–325.

ŻĄDŁO, T. (2006). On prediction of total value in incompletely specified domains, Australian & New Zealand Journal of Statistics 48(3), 269–283.

VON DER LIPPE, P., (2007). Index Theory and Price Statistics, Peter Lang, Frankfurt, Germany.

VON DER LIPPE, P., (2012). Some short notes on a price index of Jacek Białek, Ekonometria (Econometrics), 35, 76–83

Back to top
© 2019–2024 Copyright by Statistics Poland, some rights reserved. Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0) Creative Commons — Attribution-ShareAlike 4.0 International — CC BY-SA 4.0