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Asymptotic Properties of Instrumental Variables Statistics for Testing Non-Nested Hypotheses

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  • Neil R. Ericsson

Abstract

This paper develops Instrumental Variables statistics for testing non-nested hypotheses when the hypotheses considered are single equations from a system of linear dynamic simultaneous equations. Asymptotic distributions of those statistics and of comparable Maximum Likelihood statistics are derived under the null hypothesis, a local non-nested alternative hypothesis, and a local "comprehensive" alternative hypothesis. The asymptotic powers of the non-nested hypothesis tests are compared with those of tests of nested hypotheses, and a numerical application is given.

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  • Neil R. Ericsson, 1983. "Asymptotic Properties of Instrumental Variables Statistics for Testing Non-Nested Hypotheses," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(2), pages 287-304.
    • Handle: RePEc:oup:restud:v:50:y:1983:i:2:p:287-304.
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    File URL: http://hdl.handle.net/10.2307/2297417
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    Cited by:

    1. Christopher Adam & David Cobham & Eric Girardin, 2005. "Monetary Frameworks and Institutional Constraints: UK Monetary Policy Reaction Functions, 1985–2003," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(4), pages 497-516, August.
    2. Neil R. Ericsson, 1986. "Post-simulation Analysis of Monte Carlo Experiments: Interpreting Pesaran's (1974) Study of Non-nested Hypothesis Test Statistics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(4), pages 691-707.
    3. Marc Lavoie & Gabriel Rodriguez & Mario Seccareccia, 2004. "Similitudes and Discrepancies in Post-Keynesian and Marxist Theories of Investment: A Theoretical and Empirical Investigation," International Review of Applied Economics, Taylor & Francis Journals, vol. 18(2), pages 127-149.
    4. de Brouwer, Gordon & Ericsson, Neil R, 1998. "Modeling Inflation in Australia," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(4), pages 433-449, October.
    5. Kevin S. Nell, 2018. "Conditional Divergence in the Post-1989 Globalisation Period," CEF.UP Working Papers 1806, Universidade do Porto, Faculdade de Economia do Porto.
    6. Neil R. Ericsson & David F. Hendry & Hong-Anh Tran, 1993. "Cointegration, seasonality, encompassing, and the demand for money in the United Kingdom," International Finance Discussion Papers 457, Board of Governors of the Federal Reserve System (U.S.).
    7. Michael Browne, 2016. "Liquidity effects on consumers’ imports in Trinidad and Tobago," Working Papers 2016-005, The George Washington University, Department of Economics, H. O. Stekler Research Program on Forecasting.
    8. Luc Anselin, 1988. "Model Validation in Spatial Econometrics: A Review and Evaluation of Alternative Approaches," International Regional Science Review, , vol. 11(3), pages 279-316, December.
    9. Yock Y. Chong & David F. Hendry, 1986. "Econometric Evaluation of Linear Macro-Economic Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(4), pages 671-690.
    10. William C. Gruben & Darryl McLeod, 2003. "Choosing among rival poverty rates : some tests for Latin America," Center for Latin America Working Papers 0103, Federal Reserve Bank of Dallas.
    11. David F. Hendry, 2020. "First in, First out: Econometric Modelling of UK Annual CO_2 Emissions, 1860–2017," Economics Papers 2020-W02, Economics Group, Nuffield College, University of Oxford.
    12. Neil R. Ericsson, 1987. "Monte Carlo methodology and the finite sample properties of statistics for testing nested and non-nested hypotheses," International Finance Discussion Papers 317, Board of Governors of the Federal Reserve System (U.S.).
    13. Mizon, Grayham E & Richard, Jean-Francois, 1986. "The Encompassing Principle and Its Application to Testing Non-nested Hypotheses," Econometrica, Econometric Society, vol. 54(3), pages 657-678, May.
    14. Julia Campos & Neil R. Ericsson & David F. Hendry, 2005. "General-to-specific modeling: an overview and selected bibliography," International Finance Discussion Papers 838, Board of Governors of the Federal Reserve System (U.S.).

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