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Articles

Elementary price indices under the GBM price model

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Pages 1232-1251 | Received 15 Sep 2020, Accepted 29 May 2021, Published online: 15 Jun 2021

References

  • Balk, B. M. 2005. Price indexes for elementary aggregates: The sampling approach. Journal of Official Statistics 21 (4):675–99.
  • Białek, J. 2015. Generalization of the Divisia price and quantity indices in a stochastic model with continuous time. Communications in Statistics - Theory and Methods 44 (2):309–28. doi: https://doi.org/10.1080/03610926.2014.968738.
  • Białek, J. 2020a. Comparison of elementary price indices. Communications in Statistics - Theory and Methods 49 (19):4787–803. doi: https://doi.org/10.1080/03610926.2019.1609035.
  • Białek, J. 2020b. Basic statistics of Jevons and Carli Indices under the GBM price model. Journal of Official Statistics 36 (4):737–61. doi: https://doi.org/10.2478/jos-2020-0037.
  • Carli, G. 1804. Del valore e della proporzione de’metalli monetati. Scrittori Classici Italiani di Economia Politica 13:297–336.
  • Carruthers, A. G., D. J. Sellwood, and P. W. Ward. 1980. Recent developments in the retail price index. The Statistician 29 (1):1–32. doi: https://doi.org/10.2307/2987492.
  • Consumer Price Index Manual. Theory and Practice. 2004. ILO/IMF/OECD/UNECE/Eurostat/The World Bank, International Labour Office (ILO), Geneva.
  • Dalen, J. 1992. Computing elementary aggregates in the Swedish consumer price index. Journal of Official Statistics 8 (2):129–47.
  • Diewert, W. E. (1995. ). Axiomatic and economic approaches to elementary price indexes. Discussion Paper No. 95-01, Department of Economics, The University of British Columbia, Vancouver.
  • Dorfman, A. H., S. Leaver, and J. Lent. (1999). Some observations on price index estimators. Working Paper 29(2). US Bureau of Labour Statistics (BLS) Statistical Policy, Washington, DC.
  • Dutot, C. F. 1738. Reflexions politiques sur les finances et le commerce. The Hague: Les freres Vaillant et Nicolas Prevost.
  • Eichhorn, W., and J. Voeller. 1976. Theory of the price index. Lectures notes in economics and mathematical systems 140. Berlin-Heidelberg-New York: Springer-Verlag.
  • Greenlees, J. S. (2001). Random errors and superlative indexes. Working Paper 343, Bureau of Labour Statistics, Washington, DC.
  • Hull, J. 2018. Options, futures, and other derivatives. 10th ed. Boston, MA: Pearson.
  • Jevons, W. S. 1865. The variation of prices and the value of the currency since 1782. Journal of the Statistical Society of London 28 (2):294–320. doi: https://doi.org/10.2307/2338419.
  • Levell, P. 2015. Is the Carli index flawed?: Assessing the case for new retail price index RPIJ. Journal of the Royal Statistical Society: Series A (Statistics in Society) 178 (2):303–36. doi: https://doi.org/10.1111/rssa.12061.
  • McClelland, R., and M. Reinsdorf. (1999). Small sample bias in geometric mean and seasoned CPI component indexes. Working Paper No. 324, Bureau of Labor Statistics, Washington, DC.
  • Moulton, B. R., and K. E. Smedley. (1995). A comparison of estimators for elementary aggregates of the CPI. Bureau of Labor Statistics, Washington, DC.
  • Oksendal, K. 2002. Stochastic differential equations: An introduction with applications. Berlin: Springer-Verlag Berlin Heidelberg.
  • Privault, N. 2012. An elementary introduction to stochastic interest rate modeling. Advanced series on statistical science & applied probability. Vol. 16. Singapore: World Scientific Publishing Co.
  • Ross, S. M. 2014. Variations on Brownian motion. Introduction to probability models. 11th ed, 612–4. Amsterdam: Elsevier.
  • Schultz, B. 1995. Choice of price index formulae at the micro-aggregation level: The. Canadian Empirical evidence (Version updated in June 1995). Paper presented at the first meeting of the Ottawa Group on Price indices, Canada.
  • Silver, H., and S. Heravi. 2007. Why elementary price index number formulas differ: Evidence on price dispersion. Journal of Econometrics 140 (2):874–83. doi: https://doi.org/10.1016/j.jeconom.2006.07.017.
  • Von der Lippe, P. 2007. Index theory and price statistics. Frankfurt am Main: Peter Lang.

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