Testing independence for multivariate time series via the auto-distance correlation matrix
利用自距离相关矩阵检验多元时间序列的独立性
SUMMARYWe introduce the matrix multivariate auto-distance covariance and correlation functions for time series, discuss their interpretation and develop consistent estimators for practical implementation. We also develop a test of the independent and identically distributed hypothesis for multivariate time series data and show that it performs better than the multivariate Ljung–Box test. We discuss computational aspects and present a data example to illustrate the method.