Not exact matches
If the residual series generated by a model show no significant autocorrelation, as tested by Ljung - Box portmanteau statistics, then they are not distinguishable from white
noise — a covariance
stationary process.
«Change is not synonymous to nonstationarity, since even an ideal
stationary white
noise process involves change, which however becomes less and less distinct as the time scale of viewing the
process (e.g., time scale of averaging) increases.
As mentioned earlier, red
noise exhibits a correlation structure, which, although it is a
stationary process, to will depart from the zero mean for minor sojourns.