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E-Companion for 'A Generalized Norton-Bass Model for Multigeneration Diffusion'


Zhengrui Jiang


College of Business, Iowa State University

Dipak C. Jain


Marketing, INSEAD

April 26, 2012

Management Science, Vol. 58, No. 10, October 2012, pp. 1887-1897.

Abstract:     
The Norton-Bass (NB) model is often credited as the pioneering multigeneration diffusion model in marketing. However, as acknowledged by the authors, when counting the number of adopters who substitute an old product generation with a new generation, the NB model does not differentiate those who have already adopted the old generation from those who have not. In this study, we develop a Generalized Norton-Bass (GNB) model that separates the two different types of substitutions. The GNB model provides closed-form expressions for both the number of units-in-use and the adoption rate, and offers greater flexibility in parameter estimation, forecasting, and revenue projection. An appealing aspect of the GNB model is that it uses exactly the same set of parameters as the NB model and is mathematically consistent with the later. Empirical results show that the GNB model delivers better overall performance than previous models both in terms of model fit and forecasting performance. The analyses also show that differentiating leapfrogging and switching adoptions based on the GNB model can help gain additional insights into the process of multigeneration diffusion. Furthermore, we demonstrate that the GNB model can incorporate the effect of marketing mix variables on the speed of diffusion for all product generations.

Number of Pages in PDF File: 7

Keywords: Norton-Bass model, multigeneration diffusion, leapfrogging, switching

JEL Classification: M21, M31

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Date posted: April 28, 2012 ; Last revised: November 12, 2012

Suggested Citation

Jiang, Zhengrui and Jain, Dipak C., E-Companion for 'A Generalized Norton-Bass Model for Multigeneration Diffusion' (April 26, 2012). Management Science, Vol. 58, No. 10, October 2012, pp. 1887-1897.. Available at SSRN: http://ssrn.com/abstract=2046847

Contact Information

Zhengrui Jiang (Contact Author)
College of Business, Iowa State University ( email )
Ames, IA 50011-2063
United States
Dipak C. Jain
Marketing, INSEAD ( email )
Boulevard de Constance
Fontainebleau, 77305
France
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