Weak stationarity of difference of weak stationary process

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If I have discrete weakly stationary process $X_t$:

  • expected value is finite
  • variance is finite
  • $\textrm{cov}(X_p,X_q)=\gamma(|p-q|),\forall p,q\in\mathbb{N}$.

Can I be sure that it's difference $Y_t = X_t - X_{t-1}$ is also weakly stationary?