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Panel Unit Root Testing with Nonlinear Instruments for Infinite-Order Autoregressive Processes

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  • Demetrescu Matei

    (Goethe University Frankfurt)

Abstract

The asymptotic null distribution of the nonlinear IV panel unit root test due to Chang (2002, Journal of Econometrics 110, 261-292) is examined under the assumption of an invertible general linear process with a weak summability condition. An autoregressive approximation of order p, with p growing to infinity jointly with the sample size T is employed in the test regression. The conditions under which the analysis is conducted are fairly similar to those usually assumed for the augmented Dickey-Fuller test, with the exception of the conditions imposed on the innovations of the general linear process; these satisfy much stricter conditions needed for the nonlinear IV framework. The asymptotic normality of the nonlinear IV (panel) unit root test is established when p is of a magnitude order lower than the square root of T. Furthermore, the convergence rate of the nonlinear IV estimator of the coefficient associated to the lagged level is found to be lower than square root T, thus leading to inconsistency of the residual variance estimator. Two simple solutions to this problem are suggested.

Suggested Citation

  • Demetrescu Matei, 2009. "Panel Unit Root Testing with Nonlinear Instruments for Infinite-Order Autoregressive Processes," Journal of Time Series Econometrics, De Gruyter, vol. 1(2), pages 1-30, December.
    • Handle: RePEc:bpj:jtsmet:v:1:y:2009:i:2:n:3
    DOI: 10.2202/1941-1928.1009
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    References listed on IDEAS

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    Cited by:

    1. Miller J. Isaac, 2010. "A Nonlinear IV Likelihood-Based Rank Test for Multivariate Time Series and Long Panels," Journal of Time Series Econometrics, De Gruyter, vol. 2(1), pages 1-38, September.
    2. Matei Demetrescu & Christoph Hanck, 2013. "Nonlinear IV panel unit root testing under structural breaks in the error variance," Statistical Papers, Springer, vol. 54(4), pages 1043-1066, November.
    3. Matei Demetrescu & Christoph Hanck & Adina I. Tarcolea, 2014. "Iv-Based Cointegration Testing In Dependent Panels With Time-Varying Variance," Journal of Time Series Analysis, Wiley Blackwell, vol. 35(5), pages 393-406, August.
    4. Matei Demetrescu, 2009. "Panel unit root testing and the martingale difference hypothesis for German stocks," Economics Bulletin, AccessEcon, vol. 29(3), pages 1749-1759.
    5. Matei Demetrescu & Christoph Hanck, 2016. "Robust Inference for Near-Unit Root Processes with Time-Varying Error Variances," Econometric Reviews, Taylor & Francis Journals, vol. 35(5), pages 751-781, May.
    6. Demetrescu, Matei & Kusin, Vladimir & Salish, Nazarii, 2022. "Testing for no cointegration in vector autoregressions with estimated degree of fractional integration," Economic Modelling, Elsevier, vol. 108(C).

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