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arXiv 2102.04048econ.EM
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关于结构向量自回归中的全局识别

On global identification in structural vector autoregressions

University of Bologna(博洛尼亚大学);Brown University(布朗大学)

Emanuele Bacchiocchi, Toru Kitagawa

AI总结:

研究结构向量自回归中全局识别问题,指出鲁维奥 - 拉米雷斯等人给出的充要条件不充分,通过反例分析原因,进而推导修正的充要条件并说明实践评估方法。

摘要:

在对结构向量自回归(SVARs)文献具有里程碑意义的贡献中,鲁维奥 - 拉米雷斯、瓦格纳和查(2010年,《结构向量自回归:识别理论与推断算法》,《经济研究评论》)给出了等式约束全局识别SVAR结构参数的充要条件。鲁维奥 - 拉米雷斯等人(2010年)定理7中所示充要条件的最简形式,在无需知道结构或简化形式参数真值的情况下,检查零约束数量和特定矩阵的秩。然而,本文通过反例表明该条件对于全局识别并不充分。对反例的分析研究阐明了其充分性主张为何不成立。秩条件的问题在于它允许约束冗余的可能性,即一个或多个约束可能由其他约束所隐含,此时隐含约束不包含识别信息。我们推导了SVAR全局识别的修正充要条件,并阐明了在实践中如何评估它。

英文摘要:

In a landmark contribution to the structural vector autoregression (SVARs) literature, Rubio-Ramirez, Waggoner, and Zha (2010, `Structural Vector Autoregressions: Theory of Identification and Algorithms for Inference,' Review of Economic Studies) shows a necessary and sufficient condition for equality restrictions to globally identify the structural parameters of a SVAR. The simplest form of the necessary and sufficient condition shown in Theorem 7 of Rubio-Ramirez et al (2010) checks the number of zero restrictions and the ranks of particular matrices without requiring knowledge of the true value of the structural or reduced-form parameters. However, this note shows by counterexample that this condition is not sufficient for global identification. Analytical investigation of the counterexample clarifies why their sufficiency claim breaks down. The problem with the rank condition is that it allows for the possibility that restrictions are redundant, in the sense that one or more restrictions may be implied by other restrictions, in which case the implied restriction contains no identifying information. We derive a modified necessary and sufficient condition for SVAR global identification and clarify how it can be assessed in practice.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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