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2014 | 15 | nr 4 | 545--558
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Proposition of Stochastic Postulates for Chain Indices

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This article presents and discusses a proposition of stochastic postulates for chain indices. The presented postulates are based on the assumption that prices and quantities are stochastic processes and we consider also the case when price processes are martingales. We define general conditions which allow the chain indices to satisfy these postulates. (original abstract)
Opis fizyczny
  • University of Lodz, Poland
  • BALK, M., (1995). Axiomatic Price Index Theory: A Survey, International Statistical Review 63, 69-95.
  • BANARJEE, K. S., (1979). An Interpretation of the Factorial Indexes in the Light of Divisia's Integral Indexes, Statistische Hefte, 20, 261-269.
  • BIAŁEK, J., (2008). New definition of the average rate of return of a group of pension funds, [in:] Financial Markets: Principles of Modelling, Forecasting and Decision-Making, vol. 6, 126-135, Łódź.
  • BIAŁEK, J., (2012). The use of statistical chain indices to evaluate the average return of OFE, [in:] Financial investments and insurance - global trends and the Polish market (ed. Krzysztof Jajuga, Wanda Ronka-Chmielowiec), Scientific Papers of the Wrocław University of Economics, 23-32, Wrocław.
  • BIAŁEK, J., (2013). Measuring Average Rate of Return of Pensions: A Discrete, Stochastic and Continuous Price Index Approaches, International Journal of Statistics and Probability, Vol. 2, No. 4, 56-63.
  • 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 Raport to the Senate Finance Committee from the Advisory Commission to Study the Consumer Price Index.
  • CHO, D., (2006). A Chain-Type Price Index for New Business Jet Aircraft, Business Economics, vol. 41, 1, 45-52.
  • CLEMENTS, K. W., IZAN, H. Y., (1987). The Measurement of Inflation: A Stochastic Approach, Journal of Business and Economic Statistics 5, 339- 350.
  • DIVISIA, F., (1925). L'indice montaire et la theorie de la monnaie, Revue d'Economique Politique.
  • EICHHORN, W., VOELLER, J., (1976). Theory of the Price Index. Fisher's Test Approach and Generalizations, Berlin, Heidelberg, New York: SpringerVerlag.
  • FEENSTRA, R. C., REINSDORF, M. B., (2000). An exact price index for the almost ideal demand system, Economic Letters 66, 159-162.
  • FORSYTH, F. G., FOWLER, R. F., (1981). The Theory and Practice of Chain Price Index Numbers, Journal of the Royal Statistical Society, 144, Part 2, 224-246.
  • FRISHMAN, F., (1971). On the arithmetic means and variances of products and ratios of random variables, [in:] A Modern Course on Statistical Distributions in Scientific Work, Army Research Office, Durham, North Carolina, 330-345 (chapter 8).
  • GAJEK, L., KAŁUSZKA, M., (2000). On the average return rate for a group of investment funds, Acta Universitas Lodziensis, Folia Oeconomica 152, 161-171, Łódź.
  • GAJEK, L., KAŁUSZKA, M., (2001). On some properties of the average rate of return - a discrete time stochastic model, (working paper).
  • HULTEN, C. R., (1973). Divisia Index Numbers, Econometrica 41:6, 1017-1025.
  • LONGSTAFF, F. A., SCHWARTZ, E. S., (2001). Valuing American options by simulation: a simple least squares approach, Review of Financial Studies 14, 113-148.
  • MARSHALL, A., (1887). Remedies for Fluctuations of General Prices, Contemporary Review 51, 355-375.
  • MANSUY, R., (2009). The origins of the Word "Martingale", Electronic Journal for History of Probability and Statistics 5 (1).
  • PFOUTS, R. W., (1966). An Axiomatic Approach to Index Numbers, Review of the International Statistical Institute, 34 (2), 174- 185.
  • SAMUELSON, P. A., SWAMY, S., (1974). Invariant economic index numbers and canonical duality: survey and synthesis, American Economic Review 64 (4), 566-593.
  • SAMUELSON, P. A., (1965). Proof That Properly Anticipated Prices Fluctuate Randomly, Industrial Management Review, 6 (2), Spring, 41-49.
  • SELVANATHAN, E. A., PRASADA RAO, D. S., (1994). Index Numbers: A Stochastic Approach, Ann Arbor: The University of Michigan Press.
  • SZULC, B. J., (1983). Linking Price Index Numbers, 537-566 in Price Level Measurement, W.E. Diewert and C. Montmarquette (eds.), Ottawa: Statistics Canada.
  • WILLIAMS, D., (1991). Probability with Martingales, Cambridge University Press.
  • VILLE, J., (1939). Etude critique de la notion de collectif, Monographies des Probabilites (in French) 3, Paris: Gauthier-Villars.
  • VOGT, A., (1978). Divisia Indices on Different Paths, In Eichorn, W., Henn, R. and S. Opitz, Hg., Theory and Applications of Economic Index Numbers, Physica: Würzburg, 297-305.
  • VON DER LIPPE, P., (2001). Chain Indices, A Study in Price Index Theory, Stuttgart: Federal Statistics Office of Germany, vol. 16.
  • VON DER LIPPE, P., (2007). Index Theory and Price Statistics, Peter Lang, Frankfurt, Germany.
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