Multivariate fractional integration tests allowing for conditional heteroskedasticity with an application to return volatility and trading volume
允许条件异方差的多变量分数积分检验:收益波动率与成交量应用
Summary We introduce a new joint test for the order of fractional integration of a multivariate fractionally integrated vector autoregressive (FIVAR) time series based on applying the Lagrange multiplier principle to a feasible generalised least squares estimate of the FIVAR model obtained under the null hypothesis. A key feature of the test we propose is that it is constructed using a heteroskedasticity‐robust estimate of the variance matrix. As a result, the test has a…