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Inconsistency of bootstrap for nonstationary, vector autoregressive processes

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  • Choi, In

Abstract

Using a nonstationary, bivariate autoregressive process with iid innovations, this paper shows that the bootstrap vector autoregressive causality test is inconsistent in general in the sense that its weak limit is different from that of the original causality test.

Suggested Citation

  • Choi, In, 2005. "Inconsistency of bootstrap for nonstationary, vector autoregressive processes," Statistics & Probability Letters, Elsevier, vol. 75(1), pages 39-48, November.
    • Handle: RePEc:eee:stapro:v:75:y:2005:i:1:p:39-48
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    References listed on IDEAS

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    1. Toda, Hiro Y & Phillips, Peter C B, 1993. "Vector Autoregressions and Causality," Econometrica, Econometric Society, vol. 61(6), pages 1367-1393, November.
    2. Atsushi Inoue & Lutz Kilian, 2002. "Bootstrapping Autoregressive Processes with Possible Unit Roots," Econometrica, Econometric Society, vol. 70(1), pages 377-391, January.
    3. Choi, In, 2005. "Subsampling vector autoregressive tests of linear constraints," Journal of Econometrics, Elsevier, vol. 124(1), pages 55-89, January.
    4. Granger, C W J, 1969. "Investigating Causal Relations by Econometric Models and Cross-Spectral Methods," Econometrica, Econometric Society, vol. 37(3), pages 424-438, July.
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    2. Lenard Lieb & Stephan Smeekes, 2017. "Inference for Impulse Responses under Model Uncertainty," Papers 1709.09583, arXiv.org, revised Oct 2019.

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