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Index Theory and Price Statistics

Peter von der Lippe

This textbook integrates mathematical index theory and its application in official price statistics. It tries to bridge theory and practice, due to the apparent divergence between mathematicians with ever more sophisticated and complex models and practitioners with problems that are more and more difficult to understand without broad knowledge and some experience. The text offers an introduction into axiomatic, microeconomic and stochastic reasoning as regards index numbers, with moderately difficult mathematics. It also summarizes many ongoing discussions concerning methodological merits and demerits of specific indices, such as consumer price-, producer price-, unit value- and chain indices, in official price statistics. The book is comprehensive and presents a readable overview of a great number of topics in modern price index theory and their application in inflation measurement, deflation of aggregates in National Accounts, sampling and quality adjustment in price collection and other important though controversial issues.


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References 561


561 References Abraham, K.G., Greenlees, J.S., and Moulton, B.R. (1998): "Working to Improve the Consumer Price Index", Journal of Economic Perspectives 12 (1), 27-36. Aczel, J. and Eichhorn, W. (1974): "A Note on Additive Indices", Journal of Economic Theory, 8, 525-529. Adelman, Irma (1958): "A New Approach to the Construction of Index Numbers", Review of Economics and Statistics, 240-299. Advisory Commission (1995): "Toward a More Accurate Measure of the Cost of Living", Interim Report to the Senate Finance Committee (USA). Advisory Commission (1996): "Toward A More Accurate Measure of The Cost of Living", Final Report to the Senate Finance Committee (USA). Afriat, S.N. (1977): The Price Index, Cambridge: Cambridge University Press. Afriat, S.N. (1981): "On the constructability of consistent price indices between several periods simultaneously", in: Deaton, A., Essays in the theory and measurement of consumer behaviour in honour of Sir Richard Stone, Cambridge University Press, 133-161. Al, P.G., Balk, B.M., de, Boer, S. and den Bakker, G.P. (1986): "The use of chain indices for deflating the national accounts", Statistical Journal of the United Nations Economic Commission for Europe, 4, 347-368. Allen, R.G.D. (1963): "Price Index Numbers", International Statistical Review, 31, 281- 301. Allen, R.G.D. (1975): Index Numbers in Theory and Practice, London: Macmillan Press. Allen, R. and Diewert, W.E. (1981): "Direct versus implicit superlative index number formulas", Review of Economics and Statistics, LXIII, 430-435. Altermann, J., and Marimont, M. (1970): "Prices and Price Analysis in the Framework of the National Accounts", Review of lncome and Wealth, 143-172. Archer, C.A....

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