Probabilistic forecasting using stochastic diffusion models, with applications to cohort processes of marriage and fertility
We study prediction and error propagation in Hernes, Gompertz, and logistic models for innovation diffusion. We develop a unifying framework in which the models are linearized with respect to cohort age and predictions are derived from the underlying linear process. We develop and compare methods for deriving the predictions and show how Monte Carlo simulation can be used to estimate prediction uncertainty for a wide class of underlying linear processes. For an important special case, random walk with, we develop an analytic prediction variance estimator. Both the Monte Carlo method and the analytic variance estimator allow the forecasters to make precise the level of within-model prediction uncertainty in innovation diffusion models. Empirical applications to first births, first marriages and cumulative fertility illustrate the usefulness of these methods.
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Kohler, Hans-Peter, 2001. "Fertility and Social Interaction: An Economic Perspective," OUP Catalogue, Oxford University Press, number 9780199244591.
- Gruber, Harald & Verboven, Frank, 2001.
"The diffusion of mobile telecommunications services in the European Union,"
European Economic Review,
Elsevier, vol. 45(3), pages 577-588, March.
- Gruber, H. & Verboven, F.L., 1998. "The Diffusion of Mobile Telecommunications Services in the European Union," Discussion Paper 1998-138, Tilburg University, Center for Economic Research.
- Gruber, Harald & Verboven, Frank, 1999. "The Diffusion of Mobile Telecommunications Services in the European Union," CEPR Discussion Papers 2054, C.E.P.R. Discussion Papers.
- Jan Hoem & Dan Madien & Jørgen Nielsen & Else-Marie Ohlsen & Hans Hansen & Bo Rennermalm, 1981. "Experiments in modelling recent Danish fertility curves," Demography, Springer;Population Association of America (PAA), vol. 18(2), pages 231-244, May.
- Meade, Nigel & Islam, Towhidul, 2006. "Modelling and forecasting the diffusion of innovation - A 25-year review," International Journal of Forecasting, Elsevier, vol. 22(3), pages 519-545. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:dem:wpaper:wp-2010-013. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Peter Wilhelm)
If references are entirely missing, you can add them using this form.