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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2008 Volume 20, Number 9, Pages 34–50 (Mi mm2681)

This article is cited in 2 papers

Generalized non-parametric method: the law of demand in prognosis problems

V. A. Grebennikova, A. A. Shananinb

a M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
b Moscow Institute of Physics and Technology

Abstract: An approach to forecasting consumer demand based on generalized non-parametric method is developed. Necessary and sufficient conditions for trading statistics to be in a correspondence with the inverse function of demand, satisfying the Law of Demand were found. Warshall-Floyd algorithm verifies these conditions. This algorithm has polynomial complexity over the number of trading statistics points of time. Demand forecasting technique based on the analysis of trading statistics rationalization and the Law of Demand feasibility is suggested.

Received: 06.02.2007


 English version:
Mathematical Models and Computer Simulations, 2009, 1:5, 591–604

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