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Encompassing and Specificity

Author

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  • Florens, Jean-Pierre
  • Hendry, David F.
  • Richard, Jean-François

Abstract

A model M is said to encompass another model N if the former can explain the results obtained by the latter. In this paper, we propose a general notion of encompassing that covers both classical and Bayesian viewpoints and essentially represents a concept of sufficiency among models. We introduce the parent notion of specificity that aims at measuring lack of encompassing. Tests for encompassing are discussed and the test statistics are compared to Bayesian posterior odds. Operational approximations are offered to cover situations where exact solutions cannot be obtained.

Suggested Citation

  • Florens, Jean-Pierre & Hendry, David F. & Richard, Jean-François, 1996. "Encompassing and Specificity," Econometric Theory, Cambridge University Press, vol. 12(04), pages 620-656, October.
  • Handle: RePEc:cup:etheor:v:12:y:1996:i:04:p:620-656_00
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    Cited by:

    1. Christophe Bontemps & Grayham E. Mizon, 2008. "Encompassing: Concepts and Implementation," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(s1), pages 721-750, December.
    2. Ramdan Dridi & Eric Renault, 2000. "Semi-Parametric Indirect Inference," STICERD - Econometrics Paper Series 392, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    3. Jurgen A. Doornik, 2008. "Encompassing and Automatic Model Selection," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(s1), pages 915-925, December.
    4. Christophe Bontemps & Jean-Pierre Florens & Jean-François Richard, 2008. "Parametric and Non-parametric Encompassing Procedures," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(s1), pages 751-780, December.

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