AI 中文总结
探讨三元独立随机变量与完全二分图的联系并构造其序列,用斯坦因方法对其和进行方差伽马近似并推导边界,还讨论了相关极限定理。
AI 中文摘要
在本文中,我们首先讨论三元独立随机变量(rvs)如何与完全二分图相联系。利用这种联系,我们构造了一个三元独立rvs的序列。接下来,我们考虑这种三元独立rvs和的方差伽马(VG)近似。使用斯坦因方法,我们推导了我们的边界。还讨论了相关的极限定理。
英文摘要
In this article, we first discuss how triplewise independent random variables (rvs) are connected to a complete bipartite graph. Using the connection, we construct a sequence of triplewise independent rvs. We next consider a variance gamma (VG) approximation of sums of such triplewise independent rvs. Using Stein's method and the generalized zero-bias transformation, we obtain our bounds. Related limit theorems are also discussed.