We obtain Marcinkiewicz-Zygmund strong laws of large numbers for weighted sums of pairwise positively quadrant dependent random variables stochastically dominated by a random variable $X \in \mathscr{L}_{p}$, $1 \leqslant p < 2$. We use our results to establish the strong consistency of estimators which emerge from regression models having pairwise positively quadrant dependent errors.

翻译：我们获得了一大批Marcinkiewicz-Zygmund 的强法, 其加权总和是正对的, 由随机变量 $X\ in\ mathscr{L ⁇ p}$1\leqslant p < 2 $. 我们用我们的结果来确定从回归模型中得出的有双对正对正二次依赖误差的测算器的高度一致性。