Kernel regularized least squares (KRLS): proposed by (Hainmueller and Hazlett, 2014) - link
Engle–Granger (EG), Johansen (JOH), Boswijk (BO), and Banerjee–Dolado–Mestre (BDM)
Bayer-Hanck Cointegration test
Toda and Yamamoto causation test provided by the Toda and Yamamoto (1995) could be used if the time series variables are integrated of order zero, one, or two, in contrast to the Granger causality test established by Granger (1969). Besides, even if the time variables are not co-integrated, the Toda and Yamamoto (1995) causality test could be used.
the DCC, ADCC and GO-GARCH models proposed by Engle (2002), Cappiello et al. (2006) and van der Weide (2002) respectively.