Time-varying multivariate causal processes

Jiti Gao, Bin Peng, Wei Biao Wu, Yayi Yan

Research output: Contribution to journalArticleResearchpeer-review


In this paper, we consider a wide class of time-varying multivariate causal processes that nests many classical and new examples as special cases. We first show the existence of a weakly dependent stationary approximation to initiate our theoretical investigation. We then consider a quasi-maximum likelihood estimation (QMLE), and provide both point-wise and uniform inferences to coefficient functions of interest. The theoretical findings are further examined through extensive simulations. Finally, we show empirical relevance of our study by evaluating both temporal and contemporaneous connectedness between the stock markets of China and U.S.

Original languageEnglish
Article number105671
Number of pages17
JournalJournal of Econometrics
Issue number1
Publication statusPublished - Mar 2024


  • Local linear quasi-maximum likelihood estimation
  • Multivariate causal process
  • Uniform confidence band

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