Abstract

In 1971, Chow and Teicher presented a probability approximation Theorem via summability methods. The goal of this article is to extend Chow and Teicher results to higher dimension. To achieve this we consider multidimensional totally monotonic and independent identically random variables. Using these notions we present a series of approximation type theorems.

中文翻译：

---

双随机变量的可和性逼近定理

摘要

1971 年，Chow 和 Teicher 通过可和性方法提出了一个概率逼近定理。本文的目标是将 Chow 和 Teicher 结果扩展到更高维度。为了实现这一点，我们考虑多维完全单调和独立的相同随机变量。使用这些概念，我们提出了一系列近似类型定理。