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Generalized reduced rank tests using the singular value decomposition

基于奇异值分解的广义降秩检验

We propose a novel statistic to test the rank of a matrix. The rank statistic overcomes deficiencies of existing rank statistics, like: necessity of a Kronecker covariance matrix for the canonical correlation rank statistic of Anderson (1951), sensitivity to the ordering of the variables for the LDU rank statistic of Cragg and Donald (1996) and Gill and Lewbel (1992), a limiting distribution that is not a standard chi-squared distribution for the rank statistic of Robin and…

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Granger causality and the sampling of economic processes

经济过程的采样与格兰杰因果关系

This paper provides a discussion of the developments in econometric modelling that are designed to deal with the problem of spurious Granger causality relationships that can arise from temporal aggregation. We outline the distortional effects of using discrete time models that explicitly depend on the unit of time and outline a remedy of constructing timeinvariant discrete time models via a structural continuous time model. In an application to testing for money-income…

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The effects of dynamic feedbacks on LS and MM estimator accuracy in panel data models

动态反馈对面板模型 LS 与矩估计精度的影响

The finite sample behaviour is analysed of particular least squares (LS) and a range of (generalized) method of moments (MM) estimators in panel data models with individual effects and both a lagged dependent variable regressor and another explanatory variable. The latter may be affected by lagged feedbacks from the de- pendent variable too. Asymptotic expansions indicate how the order of magnitude of bias of MM estimators tends to increase with the number of moment condi-…

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Are more data always better for factor analysis?

因子分析中更多数据总是更好吗?

Factors estimated from large macroeconomic panels are being used in an increasing number of applications. However, little is known about how the size and the composition of the data affect the factor estimates. In this paper, we question whether it is possible to use more series to extract the factors, and yet the resulting factors are less useful for forecasting, and the answer is yes. Such a problem tends to arise when the idiosyncratic errors are cross-correlated. It can…

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VARs, common factors and the empirical validation of equilibrium business cycle models

VAR、共同因子与均衡经济周期模型的实证验证

Equilibrium business cycle models have typically less shocks than variables. As pointed out by Altug, 1989 and Sargent, 1989, if variables are measured with error, this characteristic implies that the model solution for measured variables has a factor structure. This paper compares estimation performance for the impulse response coefficients based on a VAR approximation to this class of models and an estimation method that explicitly takes into account the restrictions…

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Common trends and cycles in I(2) VAR systems

I(2) VAR 系统中的共同趋势与周期

This paper discusses common cycles in I(2) vector autoregressive (VAR) systems. Both static and dynamic cofeatures are considered. We consider application of these notions to different choices of stationary variables extracted from a VAR, including deviations from equilibria. This extension is based on the equilibrium dynamics representation of the system, which is introduced in this paper. Inference on the number of common features is addressed via reduced rank regression,…

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Regime switching for dynamic correlations

动态相关性的状态切换模型

We propose a new model for the variance between multiple time series, the Regime Switching Dynamic Correlation. We decompose the covariances into correlations and standard deviations and the correlation matrix follow a regime switching model; it is constant within a regime but different across regimes. The transitions between the regimes are governed by a Markov chain. This model does not suffer from a curse of dimensionality and it allows analytic computation of multi-step…

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Financial factors, macroeconomic information and the Expectations Theory of the term structure of interest rates

金融因子、宏观信息与利率期限结构的预期理论

In this paper we develop on the VAR framework, originally proposed by Campbell and Shiller (J. Political Econom 95 (1987) 1062) to evaluate the Expectations Theory, along three dimensions: the use of a testing method based on a real-time procedure, the measurement of the risk premium, the specification of the implicit monetary policy maker’s reaction function. We use financial factors and macroeconomic information to construct a test of the theory based on simulating…

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