(High dimensional) time series which reveal nonstationary and possibly periodic behavior occur frequently in many fields of science. In this article, we separate the modeling of high dimensional time series to time propagation of low dimensional time series and high dimensional time invariant...

This paper examines the comovement of the stock market and of real activity in Germany before World War I under the effcient market hypothesis. We employ multivariate spectral analysis to compare rivaling national product estimates to stock market behavior in the frequency domain. Close...

Are financial cycles an international phenomenon, and, if so, how do financial cycles interact? This letter provides new evidence for the US and the UK. Considering the properties of the data in both the time and the frequency domains, we find a strong relation between the financial cycles of...

This paper proposes a nonparametric test of causality in quantile. Zheng (1998) has proposed an idea to reduce the problem of testing a quantile restriction to a problem of testing a particular type of mean restriction in independent data. We extend Zheng’s approach to the case of dependent...