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Testing Weak Exogeneity in Cointegrated System

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  • Hsiao Chiying
  • Chen Pu

Abstract

This paper develops a limiting theory for Wald tests of weak exogeneity in error correction models (ECMs). It is well known that Wald statistics on cointegrated systems may involve nonstandard distribution and nuisance parameters, if $I(1)$ variables are not negligible in the statistics. To overcome this problem we construct a new statistic that takes only the $I(0)$ components of a Wald statistic into account and thus results in a valid $\chi^2$ criterion. Applying this procedure to test weak exogeneity in ECMs we obtain a simple and direct $\chi^2$ test

Suggested Citation

  • Hsiao Chiying & Chen Pu, 2004. "Testing Weak Exogeneity in Cointegrated System," Econometric Society 2004 Far Eastern Meetings 537, Econometric Society.
    • Handle: RePEc:ecm:feam04:537
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    File URL: https://repec.org/esFEAM04/up.27567.1079363411.pdf
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    References listed on IDEAS

    as
    1. Toda, Hiro Y & Phillips, Peter C B, 1993. "Vector Autoregressions and Causality," Econometrica, Econometric Society, vol. 61(6), pages 1367-1393, November.
    2. Harbo, Ingrid, et al, 1998. "Asymptotic Inference on Cointegrating Rank in Partial Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(4), pages 388-399, October.
    3. Johansen, Soren, 1992. "Testing weak exogeneity and the order of cointegration in UK money demand data," Journal of Policy Modeling, Elsevier, vol. 14(3), pages 313-334, June.
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    Cited by:

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    2. Yasmina Hamouda & Noha Farrag, 2022. "Female education and economic growth: an empirical investigation for Egypt," International Journal of Business and Globalisation, Inderscience Enterprises Ltd, vol. 32(1), pages 42-63.

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    More about this item

    Keywords

    Error correction model; Exogeneity; Wald testest; VAR; Cointegration;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General

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