ABCs (and Ds) of Understanding VARs

ABCs (and Ds) of Understanding VARs
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理解 VAR 的基本知识(和 D)

DOI:
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发表时间:
2007
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通讯作者:
M. Watson
M. Watson
中科院分区:
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文献类型:
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作者:
Jesús Fernández;J. Rubio;T. Sargent;M. Watson

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线性(或线性化)动态随机经济模型的动力学可以用矩阵(A,B,C,D)来表示,这些矩阵定义了可观测向量的状态空间系统。关联状态空间系统(A、ˆB、C、ˆD)确定这些相同可观量的向量自回归。我们给出了一个简单的条件来检验这两个状态空间系统何时匹配,何时不匹配,当存在相等数量的经济和VAR冲击时。我们用一个永久收入的例子来说明我们的情况。(Jel C32,E32)
The dynamics of a linear (or linearized) dynamic stochastic economic model can be expressed in terms of matrices (A, B, C, D) that define a state space system for a vector of observables. An associated state space system (A,ˆB,C,ˆD) determines a vector autoregression for those same observables. We present a simple condition for checking when these two state space systems match up and when they do not when there are equal numbers of economic and VAR shocks. We illustrate our condition with a permanent income example. (JEL C32, E32)