In this paper, we obtain error bound for pseudo-binomial and negative binomial approximations to weighted sums of locally dependent random variables, using Stein’s method. We also discuss approximation results for weighted sums of independent random variables. We demonstrate our results through some applications in finance and runs in statistics.

中文翻译：

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随机变量加权和的逼近

在本文中，我们使用Stein方法获得了伪二项式和负二项式逼近到局部相关随机变量加权和的误差界。我们还将讨论独立随机变量加权和的近似结果。我们通过一些金融应用程序和统计数据来证明我们的结果。