This paper first establishes a selection of stylized facts for high-frequency cointegration processes in the European equity market. Empirical evidence is given by one minute-binned transaction data of all DAX 30 constituents as traded on Deutsche Börse's Xetra market in 2014. A methodology is...

This paper establishes a selection of stylized facts for high-frequency cointegrated processes, based on one-minute-binned transaction data. A methodology is introduced to simulate cointegrated stock pairs, following none, some or all of these stylized facts. AR(1)-GARCH(1,1) and...

Partial cointegration is a weakening of cointegration that allows for the "cointegrating" process to contain a random walk and a mean-reverting component. We derive its representation in state space, provide a maximum likelihood based estimation routine, and a suitable likelihood ratio test....

Partial cointegration is a weakening of cointegration, allowing for the residual series to contain a mean-reverting and a random walk component. Analytically, the residual series is described by a partially autoregressive process. The partialCI package provides estimation, testing, and...

Partial cointegration is a weakening of cointegration, allowing for the residual series to contain a mean-reverting and a random walk component. Analytically, the residual series is described by a partially autoregressive process. The partialCI package provides estimation, testing, and...