Retrospective analysis of structural changes in SEM (simultaneous equation) models with varying structure. Part 2
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Retrospective analysis of structural changes in SEM (simultaneous equation) models with varying structure. Part 2
Annotation
PII
S042473880003320-1-1
DOI
10.31857/S042473880003320-1
Publication type
Article
Status
Published
Authors
Sergey Aivazian 
Affiliation: Central Economics and Mathematics Institute, Russian Academy of Sciences
Address: Russian Federation, Moscow
Boris Brodsky
Affiliation: Central Economics and Mathematics Institute, Russian Academy of Sciences
Address: Russian Federation, Moscow
Pages
60-70
Abstract

This article is devoted to the study of the problem of retrospective analysis of structural changes in SEM (simultaneous equation) models with varying structure. We consider main assumptions about statistical dependence of observations: strong mixing and ψ-weak dependence conditions, as well as the main criteris for effectiveness of a method of retrospective analysis. A new nonparametric method of retrospective detection of structural changes is proposed which does nor require knowledge about distributuinal laws of data and its statistical properties are studied. We formulate theorems about convergence to zero of type 1 and type 3 error probabuilities for the proposed method with an increasing sample size. Results of the simulation sudy of the proposed method are given the second part of the paper. Unlike earlier published papers, this article considers the problem of macroeconometric modeling with account of structural changes in data. Here we consider the method for the retrospective detection of multiple structural changes in data, simulation study of this method, as well as applications to the problems of macroeconometric modeling with account of structural changes in data. In particular, we consider the macromodel of the USA economy proposed by L. Klein (the structural change in the year 1929 is detected) and the disaggregated model of the Russian economy (quarterly data in 1995–2016s). Here we detect two instants of structural changes in 2002 and 2010. Results of the simulation study wittness about the fact that the proposed method can effectively detect structural chsnges in SEM models.

Keywords
SEM model, econometric analysis, retropective method, structural change, type 1 error, type
Date of publication
15.01.2019
Number of purchasers
5
Views
732
Readers community rating
0.0 (0 votes)
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References

1. Andrews D.W.K. (1993). Tests for Parameter Instability and Structural Change with Unknown Change Point. Econometrica, 61, 821–856.

2. Andrews D.W.K., Ploberger W. (1994) Optimal Tests When a Nuisanse Parameter Is Present Only under the Alternative. Econometrica, 62, 1383–1414.

3. Bai J., Lumsdaine R., Stock J. (1998). Testing for and Dating Common Breaks in Multivariate Time Series. Review of Economic Studies, 65, 395–432.

4. Brown R.L., Durbin J., Evans J.M. (1975). Techniques for Testing the Constancy of Regression Relationships over Time. Journal of Royal Statistical Society, Series B, 37, 149–192.

5. Klein L. (1950). Economic Fluctuations in the United States 1921–1941. Cowles Foundation. New York: John Wiley.

6. Maddala G., Kim I. (1998). Unit Roots, Cointegration, and Structural Change. Cambridge: Cambridge Univ. Press.

7. Ploberger W., Krämer W. (1992). The CUSUM Test with OLS Residuals. Econometrica, 60, 271–285.

8. Ploberger W., Krämer W., Kontrus K. (1989). A New Test for Structural Stability in the Linear Regression Model. Journal of Econometrics, 40, 307–318.