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Testing for Multiple Structural Changes with Non-Homogeneous Regressors

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  • Eiji Kurozumi

Abstract

This paper investigates tests for multiple structural changes with non-homogeneous regressors, such as polynomial trends. We consider exponential-type, supremum-type and average-type tests as well as the corresponding weighted-type tests suggested in the literature. We show that the limiting distributions depend on regressors in general, and we need to tabulate critical values depending on them. Then, we focus on the linear trend case and obtain the critical values of the test statistics. The Mote Carlo simulations are conducted to investigate the finite sample properties of the tests proposed in the paper, and it is found that the specification of the number of breaks is an important factor for the finite sample performance of the tests. Since it is often the case that we cannot prespecify the number of breaks under the alternative but can suppose only the maximum number of breaks, the weighted-type tests are useful in practice.

Suggested Citation

  • Eiji Kurozumi, 2012. "Testing for Multiple Structural Changes with Non-Homogeneous Regressors," Global COE Hi-Stat Discussion Paper Series gd11-227, Institute of Economic Research, Hitotsubashi University.
  • Handle: RePEc:hst:ghsdps:gd11-227
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    File URL: http://gcoe.ier.hit-u.ac.jp/research/discussion/2008/pdf/gd11-227.pdf
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    5. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, pages 1383-1414.
    6. Arezki, Rabah & Hadri, Kaddour & Kurozumi, Eiji & Rao, Yao, 2012. "Testing the Prebish–Singer hypothesis using second-generation panel data stationarity tests with a break," Economics Letters, Elsevier, vol. 117(3), pages 814-816.
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    Cited by:

    1. Qian, Junhui & Su, Liangjun, 2016. "Shrinkage estimation of common breaks in panel data models via adaptive group fused Lasso," Journal of Econometrics, Elsevier, pages 86-109.

    More about this item

    Keywords

    Multiple Breaks; Exp-type Test; Sup-type Test; Avg-type Test; Mean-type Test;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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