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Original Articles

Generalization of the Divisia Price and Quantity Indices in a Stochastic Model with Continuous Time

Pages 309-328 | Received 05 Nov 2013, Accepted 19 Sep 2014, Published online: 05 Nov 2014

References

  • Balk, M. (1995). Axiomatic price index theory: A survey. Int. Stat. Rev. 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: Milo, W., Szafrański, G., Wdowiński, P., eds. Financial Markets: Principles of Modelling, Forecasting and Decision-Making (pp. 126–135). Łódź, Poland: Łodź University Press.
  • Białek, J. (2012). Proposition of a general formula for price indices. Commun. Stat. Theor. Methods 41(5):943–952.
  • Białek, J. (2014). Simulation study of an original price index formula. Commun. Stat. Simul. Comput. 43(2):285–297.
  • Białek, J. (2013). Measuring average rate of return of pensions: A discrete, stochastic and continuous price index approaches. Int. J. Stat. Probab. 2(4):56–63.
  • De Haan, J. (2002). Generalised fisher price indexes and the use of scanner data in the Consumer Price Index (CPI). J. Off. Stat. 18(1):61–85.
  • Dutot, C.F. (1738). Reflexions Politiques sur les Finances et le Commerce ( Vol. 1). The Hague: Les Freres Vaillant et Nicolas Prevost.
  • Feenstra, R.C., Reinsdorf, M.B. (2000). An exact price index for the almost ideal demand system. Econ. Lett. 66:159–162.
  • Gamrot, W. (2007). Mean value estimation using two-phase samples with missing data in both phases. Acta Appl. Math. 96:215–220.
  • Hulten, C.R. (1973). Divisia index numbers. Econometrica 41(6):1017–1025.
  • Ito, K. (1951). On stochastic differential equations. Memoirs. Am. Math. Soc. 4:1–51.
  • Karatzas, I., Shreve, S. (1991). Brownian Motion and Stochastic Calculus ( 2nd ed.). New York: Springer-Verlag.
  • Koo, H. (1998). Consumption and portfolio selection with labor income: A continuous time approach. Math. Finance 8:49–65.
  • Kruskal, W., Mosteller, F. (1979). Representative sampling III: The statistical literature. Int. Stat. Rev. 47:245–265.
  • Małecka, M. (2011). Prognozowanie zmienności indeksów giełdowych przy wykorzystaniu modelu klasy GARCH. Ekonomista 6:843–860.
  • Oksendal, K. (2002). Stochastic Differential Equations: An Introduction with Applications (p. 326). Berlin: Springer-Verlag.
  • Papież, M., Śmiech, S. (2013). Causality in mean and variance within the international steam coal market. Energy Econ. 36:594–604.
  • Samuelson, P.A., Swamy, S. (1974). Invariant economic index numbers and canonical duality: Survey and synthesis. Am. Econ. Rev. 64(4):566–593.
  • Sundaresan, S.M. (2000). Continuous-time methods in finance: A review and an assessment. J. Finance LV(4):1569–1622.
  • Vogt, A. (1978). Divisia indices on different paths. In: Eichorn, W., Henn, R., Opitz, S., Shephard, R.W., eds. Theory and Applications of Economic Index Numbers (pp. 297–305). Wùrzburg: Physica.
  • von der Lippe, P. (2001). Chain Indices, A Study in Price Index Theory ( Vol. 16). Stuttgart: Federal Statistics Office of Germany.
  • von der Lippe, P. (2007). Index Theory and Price Statistics. Frankfurt: Peter Lang.
  • Żądło, T. (2006). On prediction of total value in incompletely specified domains. Aust. N. Z. J. Stat. 48:269–283.

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