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Proposition of Stochastic Postulates for Chain Indices

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  • Jacek Białek

Abstract

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.

Suggested Citation

  • Jacek Białek, 2014. "Proposition of Stochastic Postulates for Chain Indices," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 15(4), pages 545-558, September.
    • Handle: RePEc:csb:stintr:v:15:y:2014:i:4:p:545-558
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    References listed on IDEAS

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    1. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," The Review of Financial Studies, Society for Financial Studies, vol. 14(1), pages 113-147.
    2. Dong W Cho, 2006. "A Chain-Type Price Index for New Business Jet Aircraft," Business Economics, Palgrave Macmillan;National Association for Business Economics, vol. 41(1), pages 45-52, January.
    3. Clements, Kenneth W & Izan, H Y, 1987. "The Measurement of Inflation: A Stochastic Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(3), pages 339-350, July.
    4. Samuelson, Paul A & Swamy, S, 1974. "Invariant Economic Index Numbers and Canonical Duality: Survey and Synthesis," American Economic Review, American Economic Association, vol. 64(4), pages 566-593, September.
    5. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA.
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