Identification of product life cycle models by autoregression–moving average models and Groebner’s bases

Valery Semenychev (505tot@mail.ru), Eugen Kurkin (eugene.kurkin@mail.ru) and Eugene Semenychev (505tot@mail.ru)
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Valery Semenychev: Samara Academy of State and Municipal Management
Eugen Kurkin: Samara Academy of State and Municipal Management
Eugene Semenychev: Samara Academy of State and Municipal Management

Applied Econometrics, 2012, vol. 25, issue 1, 122-137

Abstract: The authors offer the analytical models of product life cycle and the approach towards their classification based on the models of autoregression–moving average and using the Groebner bases for solving the normal systems of non-linear polynomial equations, received after using the least-squares method. The characteristics of modeling and forecasting fidelity have been also elaborated, concerning the sales data for cars, data for oil production, as well as interest of Google users towards cell phone models and guide-books edition.

Keywords: product life cycle models; ARMA; OLS method; Groebner bases; car; cell phone; guidebook (search for similar items in EconPapers)
JEL-codes: C22 D91 (search for similar items in EconPapers)
Date: 2012
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