The distribution of the sum of 1-dependent lattice vectors with supports on coordinate axes is approximated by a multivariate compound Poisson distribution and by signed compound Poisson measure. The local and $\ell_\alpha$-norms are used to obtain the error bounds. The Heinrich method is used for the proofs.

中文翻译：

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弱相关向量和的 $$\ell _p$$-范数中的复合泊松近似

坐标轴上具有支撑的 1 相关晶格向量之和的分布由多元复合泊松分布和带符号复合泊松测度近似。local 和 $\ell_\alpha$-norms 用于获取误差界限。Heinrich 方法用于证明。