Complete moment convergence for the dependent linear processes with application to the state observers of linear-time-invariant systems

Let $X_t=\sum_{j=-\infty}^{\infty}A_j\varepsilon_{t-j}$ be a dependent linear process, where the $\{\varepsilon_n,\, n\in {Z}\}$ is a sequence of zero mean $m$-extended negatively dependent ($m$-EN...