New products and technological innovations diffusion processes are not stationary statistical time series. Initializing effects at start-up and saturating effects during final concluding steps may be described by simple and easy-to-identify differential equations. The key role of Riccati equation is recognized as a foundation of the well-known Bass model (1969). The paper is devoted to a review of diffusion models with reference both to univariate and multivariate extensions of original Bass model in order to cover the new relevant advances and open problems.
L'equazione di Riccati, il modello di Bass e i processi di adozione delle innovazioni
GUSEO, RENATO
2002
Abstract
New products and technological innovations diffusion processes are not stationary statistical time series. Initializing effects at start-up and saturating effects during final concluding steps may be described by simple and easy-to-identify differential equations. The key role of Riccati equation is recognized as a foundation of the well-known Bass model (1969). The paper is devoted to a review of diffusion models with reference both to univariate and multivariate extensions of original Bass model in order to cover the new relevant advances and open problems.
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