Model Selection and Simplification Using Lattices
This paper shows how to cope with a problem of model selection and simplification using the principle of coherence (Gabriel (1969): A procedure involving testing a set of models ought not accept a model while rejecting a more general model). The mathematical lattice theory is used to define a partial ordering over the space of considered models. Several examples of partial ordering in large families of models are given along with a searching algorithm to determine the best model with respect to chosen criteria.
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- Damiani, Mirella & Panattoni, Lorenzo, 1992. "Optimal simulation with econometric models," Journal of Economic Dynamics and Control, Elsevier, vol. 16(1), pages 93-108, January.
- Hendry, David F. & Learmer, Edward E. & Poirier, Dale J., 1990. "A Conversation on Econometric Methodology," Econometric Theory, Cambridge University Press, vol. 6(02), pages 171-261, June.
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- Dorfman, Jeffrey H. & Havenner, Arthur M., 1992. "A Bayesian approach to state space multivariate time series modeling," Journal of Econometrics, Elsevier, vol. 52(3), pages 315-346, June.
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