In this paper, the complete moment convergence for the partial sum of moving average processes $\{X_{n}=\sum_{i=-\infty }^{\infty }a_{i}Y_{i+n},n\geq 1\}$ is established under some mild conditions, where $\{Y_{i},-\infty < i<\infty \}$ is a sequence of m-widely orthant dependent (m-WOD, for short) random variables which is stochastically dominated by a random variable Y, and $\{a_{i},-\infty < i<\infty \}$ is an absolutely summable sequence of real numbers. These conclusions promote and improve the corresponding results from m-extended negatively dependent (m-END, for short) sequences to m-WOD sequences.

中文翻译：

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m-WOD序列的移动平均过程的完整矩收敛

在本文中，移动平均过程的部分总和$ \ {X_ {n} = \ sum_ {i =-\ infty} ^ {\ infty} a_ {i} Y_ {i + n}，n \ geq 1 \} $是在某些温和条件下建立的，其中$ \ {Y_ {i}，-\ infty <i <\ infty \} $是m范围内依赖于矫正的序列（简称m-WOD）随机变量由随机变量Y随机控制，并且$ \ {a_ {i}，-\ infty <i <\ infty \} $是绝对可积的实数序列。这些结论促进并改善了从m扩展的负相关序列（简称m-END）到m-WOD序列的相应结果。